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Finding the Fourth Proportional to 16,564.77, 22,862.50 and 9,491.18

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Solution

The fourth proportional to 16,564.77, 22,862.50 and 9,491.18 is: 13,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.77 : 22,862.50 = 9,491.18 : x
  2. Step 2: Convert to fraction form
    16,564.77/22,862.50 = 9,491.18/x
  3. Step 3: Cross multiply
    16,564.77x = 22,862.50 × 9,491.18
  4. Step 4: Simplify right side
    16,564.77x = 216,991,964.71
  5. Step 5: Solve for x
    x = 216,991,964.71/16,564.77
  6. Step 6: Final answer
    x = 13,099.61

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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.