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Finding the Fourth Proportional to 17,863.16, 24,651.15 and 9,905.90

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Solution

The fourth proportional to 17,863.16, 24,651.15 and 9,905.90 is: 13,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,863.16 : 24,651.15 = 9,905.90 : x
  2. Step 2: Convert to fraction form
    17,863.16/24,651.15 = 9,905.90/x
  3. Step 3: Cross multiply
    17,863.16x = 24,651.15 × 9,905.90
  4. Step 4: Simplify right side
    17,863.16x = 244,191,826.79
  5. Step 5: Solve for x
    x = 244,191,826.79/17,863.16
  6. Step 6: Final answer
    x = 13,670.14

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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.