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Finding the Fourth Proportional to 21,308.90, 31,963.31 and 5,726.53

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Solution

The fourth proportional to 21,308.90, 31,963.31 and 5,726.53 is: 8,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.90 : 31,963.31 = 5,726.53 : x
  2. Step 2: Convert to fraction form
    21,308.90/31,963.31 = 5,726.53/x
  3. Step 3: Cross multiply
    21,308.90x = 31,963.31 × 5,726.53
  4. Step 4: Simplify right side
    21,308.90x = 183,038,665.17
  5. Step 5: Solve for x
    x = 183,038,665.17/21,308.90
  6. Step 6: Final answer
    x = 8,589.78

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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.