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Finding the Fourth Proportional to 16,547.19, 22,834.56 and 9,472.24

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Solution

The fourth proportional to 16,547.19, 22,834.56 and 9,472.24 is: 13,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.19 : 22,834.56 = 9,472.24 : x
  2. Step 2: Convert to fraction form
    16,547.19/22,834.56 = 9,472.24/x
  3. Step 3: Cross multiply
    16,547.19x = 22,834.56 × 9,472.24
  4. Step 4: Simplify right side
    16,547.19x = 216,294,443.40
  5. Step 5: Solve for x
    x = 216,294,443.40/16,547.19
  6. Step 6: Final answer
    x = 13,071.37

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