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Finding the Fourth Proportional to 12,566.40, 18,862.56 and 9,415.50

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Solution

The fourth proportional to 12,566.40, 18,862.56 and 9,415.50 is: 14,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,566.40 : 18,862.56 = 9,415.50 : x
  2. Step 2: Convert to fraction form
    12,566.40/18,862.56 = 9,415.50/x
  3. Step 3: Cross multiply
    12,566.40x = 18,862.56 × 9,415.50
  4. Step 4: Simplify right side
    12,566.40x = 177,600,433.68
  5. Step 5: Solve for x
    x = 177,600,433.68/12,566.40
  6. Step 6: Final answer
    x = 14,132.96

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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.