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Finding the Fourth Proportional to 23,517.80, 32,455.08 and 12,907.40

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Solution

The fourth proportional to 23,517.80, 32,455.08 and 12,907.40 is: 17,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517.80 : 32,455.08 = 12,907.40 : x
  2. Step 2: Convert to fraction form
    23,517.80/32,455.08 = 12,907.40/x
  3. Step 3: Cross multiply
    23,517.80x = 32,455.08 × 12,907.40
  4. Step 4: Simplify right side
    23,517.80x = 418,910,699.59
  5. Step 5: Solve for x
    x = 418,910,699.59/23,517.80
  6. Step 6: Final answer
    x = 17,812.50

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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.