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Finding the Fourth Proportional to 23,471.38, 32,390.50 and 14,042.16

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Solution

The fourth proportional to 23,471.38, 32,390.50 and 14,042.16 is: 19,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.38 : 32,390.50 = 14,042.16 : x
  2. Step 2: Convert to fraction form
    23,471.38/32,390.50 = 14,042.16/x
  3. Step 3: Cross multiply
    23,471.38x = 32,390.50 × 14,042.16
  4. Step 4: Simplify right side
    23,471.38x = 454,832,583.48
  5. Step 5: Solve for x
    x = 454,832,583.48/23,471.38
  6. Step 6: Final answer
    x = 19,378.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.