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Finding the Fourth Proportional to 22,590.46, 31,172.11 and 13,033.47

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Solution

The fourth proportional to 22,590.46, 31,172.11 and 13,033.47 is: 17,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590.46 : 31,172.11 = 13,033.47 : x
  2. Step 2: Convert to fraction form
    22,590.46/31,172.11 = 13,033.47/x
  3. Step 3: Cross multiply
    22,590.46x = 31,172.11 × 13,033.47
  4. Step 4: Simplify right side
    22,590.46x = 406,280,760.52
  5. Step 5: Solve for x
    x = 406,280,760.52/22,590.46
  6. Step 6: Final answer
    x = 17,984.62

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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.