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Finding the Fourth Proportional to 12,635.35, 18,959.85 and 6,402.40

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Solution

The fourth proportional to 12,635.35, 18,959.85 and 6,402.40 is: 9,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.35 : 18,959.85 = 6,402.40 : x
  2. Step 2: Convert to fraction form
    12,635.35/18,959.85 = 6,402.40/x
  3. Step 3: Cross multiply
    12,635.35x = 18,959.85 × 6,402.40
  4. Step 4: Simplify right side
    12,635.35x = 121,388,543.64
  5. Step 5: Solve for x
    x = 121,388,543.64/12,635.35
  6. Step 6: Final answer
    x = 9,607.06

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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.