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Finding the Fourth Proportional to 16,564.70, 22,854.15 and 9,489.76

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Solution

The fourth proportional to 16,564.70, 22,854.15 and 9,489.76 is: 13,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.70 : 22,854.15 = 9,489.76 : x
  2. Step 2: Convert to fraction form
    16,564.70/22,854.15 = 9,489.76/x
  3. Step 3: Cross multiply
    16,564.70x = 22,854.15 × 9,489.76
  4. Step 4: Simplify right side
    16,564.70x = 216,880,341.37
  5. Step 5: Solve for x
    x = 216,880,341.37/16,564.70
  6. Step 6: Final answer
    x = 13,092.92

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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.