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Finding the Fourth Proportional to 16,592.57, 22,897.74 and 9,140.57

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Solution

The fourth proportional to 16,592.57, 22,897.74 and 9,140.57 is: 12,613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.57 : 22,897.74 = 9,140.57 : x
  2. Step 2: Convert to fraction form
    16,592.57/22,897.74 = 9,140.57/x
  3. Step 3: Cross multiply
    16,592.57x = 22,897.74 × 9,140.57
  4. Step 4: Simplify right side
    16,592.57x = 209,298,395.31
  5. Step 5: Solve for x
    x = 209,298,395.31/16,592.57
  6. Step 6: Final answer
    x = 12,613.98

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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.