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Finding the Fourth Proportional to 21,239.04, 31,864.96 and 7,388

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Solution

The fourth proportional to 21,239.04, 31,864.96 and 7,388 is: 11,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.04 : 31,864.96 = 7,388 : x
  2. Step 2: Convert to fraction form
    21,239.04/31,864.96 = 7,388/x
  3. Step 3: Cross multiply
    21,239.04x = 31,864.96 × 7,388
  4. Step 4: Simplify right side
    21,239.04x = 235,418,324.48
  5. Step 5: Solve for x
    x = 235,418,324.48/21,239.04
  6. Step 6: Final answer
    x = 11,084.23

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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.