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Finding the Fourth Proportional to 23,885.90, 32,962.30 and 13,275.30

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Solution

The fourth proportional to 23,885.90, 32,962.30 and 13,275.30 is: 18,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.90 : 32,962.30 = 13,275.30 : x
  2. Step 2: Convert to fraction form
    23,885.90/32,962.30 = 13,275.30/x
  3. Step 3: Cross multiply
    23,885.90x = 32,962.30 × 13,275.30
  4. Step 4: Simplify right side
    23,885.90x = 437,584,388.00
  5. Step 5: Solve for x
    x = 437,584,388.00/23,885.90
  6. Step 6: Final answer
    x = 18,319.78

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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.