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Finding the Fourth Proportional to 21,588.64, 32,385.84 and 7,546.57

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Solution

The fourth proportional to 21,588.64, 32,385.84 and 7,546.57 is: 11,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,588.64 : 32,385.84 = 7,546.57 : x
  2. Step 2: Convert to fraction form
    21,588.64/32,385.84 = 7,546.57/x
  3. Step 3: Cross multiply
    21,588.64x = 32,385.84 × 7,546.57
  4. Step 4: Simplify right side
    21,588.64x = 244,402,008.57
  5. Step 5: Solve for x
    x = 244,402,008.57/21,588.64
  6. Step 6: Final answer
    x = 11,320.86

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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.