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Finding the Fourth Proportional to 15,591.52, 21,509.10 and 9,301.60

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Solution

The fourth proportional to 15,591.52, 21,509.10 and 9,301.60 is: 12,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.52 : 21,509.10 = 9,301.60 : x
  2. Step 2: Convert to fraction form
    15,591.52/21,509.10 = 9,301.60/x
  3. Step 3: Cross multiply
    15,591.52x = 21,509.10 × 9,301.60
  4. Step 4: Simplify right side
    15,591.52x = 200,069,044.56
  5. Step 5: Solve for x
    x = 200,069,044.56/15,591.52
  6. Step 6: Final answer
    x = 12,831.91

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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.