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Finding the Fourth Proportional to 23,414.58, 32,307.75 and 13,202.58

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Solution

The fourth proportional to 23,414.58, 32,307.75 and 13,202.58 is: 18,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,414.58 : 32,307.75 = 13,202.58 : x
  2. Step 2: Convert to fraction form
    23,414.58/32,307.75 = 13,202.58/x
  3. Step 3: Cross multiply
    23,414.58x = 32,307.75 × 13,202.58
  4. Step 4: Simplify right side
    23,414.58x = 426,545,654.00
  5. Step 5: Solve for x
    x = 426,545,654.00/23,414.58
  6. Step 6: Final answer
    x = 18,217.10

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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.