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Finding the Fourth Proportional to 16,592.23, 22,897.27 and 9,140.23

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Solution

The fourth proportional to 16,592.23, 22,897.27 and 9,140.23 is: 12,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.23 : 22,897.27 = 9,140.23 : x
  2. Step 2: Convert to fraction form
    16,592.23/22,897.27 = 9,140.23/x
  3. Step 3: Cross multiply
    16,592.23x = 22,897.27 × 9,140.23
  4. Step 4: Simplify right side
    16,592.23x = 209,286,314.17
  5. Step 5: Solve for x
    x = 209,286,314.17/16,592.23
  6. Step 6: Final answer
    x = 12,613.51

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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.