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Finding the Fourth Proportional to 13,384.15, 20,064.94 and 8,442.90

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Solution

The fourth proportional to 13,384.15, 20,064.94 and 8,442.90 is: 12,657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.15 : 20,064.94 = 8,442.90 : x
  2. Step 2: Convert to fraction form
    13,384.15/20,064.94 = 8,442.90/x
  3. Step 3: Cross multiply
    13,384.15x = 20,064.94 × 8,442.90
  4. Step 4: Simplify right side
    13,384.15x = 169,406,189.55
  5. Step 5: Solve for x
    x = 169,406,189.55/13,384.15
  6. Step 6: Final answer
    x = 12,657.22

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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.