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Finding the Fourth Proportional to 12,278.30, 18,417.32 and 7,349.32

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Solution

The fourth proportional to 12,278.30, 18,417.32 and 7,349.32 is: 11,023.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.30 : 18,417.32 = 7,349.32 : x
  2. Step 2: Convert to fraction form
    12,278.30/18,417.32 = 7,349.32/x
  3. Step 3: Cross multiply
    12,278.30x = 18,417.32 × 7,349.32
  4. Step 4: Simplify right side
    12,278.30x = 135,354,722.99
  5. Step 5: Solve for x
    x = 135,354,722.99/12,278.30
  6. Step 6: Final answer
    x = 11,023.90

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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.