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Finding the Fourth Proportional to 12,619.60, 18,929.50 and 8,264.63

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Solution

The fourth proportional to 12,619.60, 18,929.50 and 8,264.63 is: 12,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.60 : 18,929.50 = 8,264.63 : x
  2. Step 2: Convert to fraction form
    12,619.60/18,929.50 = 8,264.63/x
  3. Step 3: Cross multiply
    12,619.60x = 18,929.50 × 8,264.63
  4. Step 4: Simplify right side
    12,619.60x = 156,445,340.25
  5. Step 5: Solve for x
    x = 156,445,340.25/12,619.60
  6. Step 6: Final answer
    x = 12,397.02

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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.