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Finding the Fourth Proportional to 16,344.86, 22,566.72 and 12,561

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Solution

The fourth proportional to 16,344.86, 22,566.72 and 12,561 is: 17,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.86 : 22,566.72 = 12,561 : x
  2. Step 2: Convert to fraction form
    16,344.86/22,566.72 = 12,561/x
  3. Step 3: Cross multiply
    16,344.86x = 22,566.72 × 12,561
  4. Step 4: Simplify right side
    16,344.86x = 283,460,569.92
  5. Step 5: Solve for x
    x = 283,460,569.92/16,344.86
  6. Step 6: Final answer
    x = 17,342.50

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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.