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Finding the Fourth Proportional to 16,269.18, 22,458.21 and 9,897.84

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Solution

The fourth proportional to 16,269.18, 22,458.21 and 9,897.84 is: 13,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.18 : 22,458.21 = 9,897.84 : x
  2. Step 2: Convert to fraction form
    16,269.18/22,458.21 = 9,897.84/x
  3. Step 3: Cross multiply
    16,269.18x = 22,458.21 × 9,897.84
  4. Step 4: Simplify right side
    16,269.18x = 222,287,769.27
  5. Step 5: Solve for x
    x = 222,287,769.27/16,269.18
  6. Step 6: Final answer
    x = 13,663.12

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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.