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Finding the Fourth Proportional to 12,298.97, 18,459.47 and 6,380.10

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Solution

The fourth proportional to 12,298.97, 18,459.47 and 6,380.10 is: 9,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.97 : 18,459.47 = 6,380.10 : x
  2. Step 2: Convert to fraction form
    12,298.97/18,459.47 = 6,380.10/x
  3. Step 3: Cross multiply
    12,298.97x = 18,459.47 × 6,380.10
  4. Step 4: Simplify right side
    12,298.97x = 117,773,264.55
  5. Step 5: Solve for x
    x = 117,773,264.55/12,298.97
  6. Step 6: Final answer
    x = 9,575.86

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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.