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Finding the Fourth Proportional to 12,397.93, 18,590.47 and 5,000.38

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Solution

The fourth proportional to 12,397.93, 18,590.47 and 5,000.38 is: 7,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.93 : 18,590.47 = 5,000.38 : x
  2. Step 2: Convert to fraction form
    12,397.93/18,590.47 = 5,000.38/x
  3. Step 3: Cross multiply
    12,397.93x = 18,590.47 × 5,000.38
  4. Step 4: Simplify right side
    12,397.93x = 92,959,414.38
  5. Step 5: Solve for x
    x = 92,959,414.38/12,397.93
  6. Step 6: Final answer
    x = 7,497.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.