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Finding the Fourth Proportional to 10,414.59, 15,603.69 and 8,670.80

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Solution

The fourth proportional to 10,414.59, 15,603.69 and 8,670.80 is: 12,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.59 : 15,603.69 = 8,670.80 : x
  2. Step 2: Convert to fraction form
    10,414.59/15,603.69 = 8,670.80/x
  3. Step 3: Cross multiply
    10,414.59x = 15,603.69 × 8,670.80
  4. Step 4: Simplify right side
    10,414.59x = 135,296,475.25
  5. Step 5: Solve for x
    x = 135,296,475.25/10,414.59
  6. Step 6: Final answer
    x = 12,991.05

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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.