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Finding the Fourth Proportional to 13,229.40, 19,848.72 and 8,293.20

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Solution

The fourth proportional to 13,229.40, 19,848.72 and 8,293.20 is: 12,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.40 : 19,848.72 = 8,293.20 : x
  2. Step 2: Convert to fraction form
    13,229.40/19,848.72 = 8,293.20/x
  3. Step 3: Cross multiply
    13,229.40x = 19,848.72 × 8,293.20
  4. Step 4: Simplify right side
    13,229.40x = 164,609,404.70
  5. Step 5: Solve for x
    x = 164,609,404.70/13,229.40
  6. Step 6: Final answer
    x = 12,442.70

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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.