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Finding the Fourth Proportional to 23,565.64, 35,348.46 and 9,531.88

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Solution

The fourth proportional to 23,565.64, 35,348.46 and 9,531.88 is: 14,297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.64 : 35,348.46 = 9,531.88 : x
  2. Step 2: Convert to fraction form
    23,565.64/35,348.46 = 9,531.88/x
  3. Step 3: Cross multiply
    23,565.64x = 35,348.46 × 9,531.88
  4. Step 4: Simplify right side
    23,565.64x = 336,937,278.90
  5. Step 5: Solve for x
    x = 336,937,278.90/23,565.64
  6. Step 6: Final answer
    x = 14,297.82

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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.