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Finding the Fourth Proportional to 15,644.64, 21,588.48 and 8,569.92

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Solution

The fourth proportional to 15,644.64, 21,588.48 and 8,569.92 is: 11,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.64 : 21,588.48 = 8,569.92 : x
  2. Step 2: Convert to fraction form
    15,644.64/21,588.48 = 8,569.92/x
  3. Step 3: Cross multiply
    15,644.64x = 21,588.48 × 8,569.92
  4. Step 4: Simplify right side
    15,644.64x = 185,011,546.52
  5. Step 5: Solve for x
    x = 185,011,546.52/15,644.64
  6. Step 6: Final answer
    x = 11,825.87

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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.