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Finding the Fourth Proportional to 21,308.89, 31,963.31 and 5,726.52

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Solution

The fourth proportional to 21,308.89, 31,963.31 and 5,726.52 is: 8,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308.89 : 31,963.31 = 5,726.52 : x
  2. Step 2: Convert to fraction form
    21,308.89/31,963.31 = 5,726.52/x
  3. Step 3: Cross multiply
    21,308.89x = 31,963.31 × 5,726.52
  4. Step 4: Simplify right side
    21,308.89x = 183,038,533.98
  5. Step 5: Solve for x
    x = 183,038,533.98/21,308.89
  6. Step 6: Final answer
    x = 8,589.77

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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.