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Finding the Fourth Proportional to 15,687.59, 21,648.75 and 9,317.31

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Solution

The fourth proportional to 15,687.59, 21,648.75 and 9,317.31 is: 12,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.59 : 21,648.75 = 9,317.31 : x
  2. Step 2: Convert to fraction form
    15,687.59/21,648.75 = 9,317.31/x
  3. Step 3: Cross multiply
    15,687.59x = 21,648.75 × 9,317.31
  4. Step 4: Simplify right side
    15,687.59x = 201,708,114.86
  5. Step 5: Solve for x
    x = 201,708,114.86/15,687.59
  6. Step 6: Final answer
    x = 12,857.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.