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Finding the Fourth Proportional to 14,923.17, 20,585.79 and 9,255.96

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Solution

The fourth proportional to 14,923.17, 20,585.79 and 9,255.96 is: 12,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,923.17 : 20,585.79 = 9,255.96 : x
  2. Step 2: Convert to fraction form
    14,923.17/20,585.79 = 9,255.96/x
  3. Step 3: Cross multiply
    14,923.17x = 20,585.79 × 9,255.96
  4. Step 4: Simplify right side
    14,923.17x = 190,541,248.81
  5. Step 5: Solve for x
    x = 190,541,248.81/14,923.17
  6. Step 6: Final answer
    x = 12,768.15

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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.