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Finding the Fourth Proportional to 16,456.50, 22,710.24 and 11,748.78

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Solution

The fourth proportional to 16,456.50, 22,710.24 and 11,748.78 is: 16,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.50 : 22,710.24 = 11,748.78 : x
  2. Step 2: Convert to fraction form
    16,456.50/22,710.24 = 11,748.78/x
  3. Step 3: Cross multiply
    16,456.50x = 22,710.24 × 11,748.78
  4. Step 4: Simplify right side
    16,456.50x = 266,817,613.51
  5. Step 5: Solve for x
    x = 266,817,613.51/16,456.50
  6. Step 6: Final answer
    x = 16,213.51

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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.