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Finding the Fourth Proportional to 23,375.32, 32,255.04 and 13,814.08

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Solution

The fourth proportional to 23,375.32, 32,255.04 and 13,814.08 is: 19,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,375.32 : 32,255.04 = 13,814.08 : x
  2. Step 2: Convert to fraction form
    23,375.32/32,255.04 = 13,814.08/x
  3. Step 3: Cross multiply
    23,375.32x = 32,255.04 × 13,814.08
  4. Step 4: Simplify right side
    23,375.32x = 445,573,702.96
  5. Step 5: Solve for x
    x = 445,573,702.96/23,375.32
  6. Step 6: Final answer
    x = 19,061.72

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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.