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Finding the Fourth Proportional to 17,076, 23,565.24 and 9,624

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Solution

The fourth proportional to 17,076, 23,565.24 and 9,624 is: 13,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076 : 23,565.24 = 9,624 : x
  2. Step 2: Convert to fraction form
    17,076/23,565.24 = 9,624/x
  3. Step 3: Cross multiply
    17,076x = 23,565.24 × 9,624
  4. Step 4: Simplify right side
    17,076x = 226,791,869.76
  5. Step 5: Solve for x
    x = 226,791,869.76/17,076
  6. Step 6: Final answer
    x = 13,281.32

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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.