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Finding the Fourth Proportional to 23,218.47, 34,830.14 and 7,637.31

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Solution

The fourth proportional to 23,218.47, 34,830.14 and 7,637.31 is: 11,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.47 : 34,830.14 = 7,637.31 : x
  2. Step 2: Convert to fraction form
    23,218.47/34,830.14 = 7,637.31/x
  3. Step 3: Cross multiply
    23,218.47x = 34,830.14 × 7,637.31
  4. Step 4: Simplify right side
    23,218.47x = 266,008,576.52
  5. Step 5: Solve for x
    x = 266,008,576.52/23,218.47
  6. Step 6: Final answer
    x = 11,456.77

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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.