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Finding the Fourth Proportional to 12,294.09, 18,442.96 and 4,502.30

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Solution

The fourth proportional to 12,294.09, 18,442.96 and 4,502.30 is: 6,754.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.09 : 18,442.96 = 4,502.30 : x
  2. Step 2: Convert to fraction form
    12,294.09/18,442.96 = 4,502.30/x
  3. Step 3: Cross multiply
    12,294.09x = 18,442.96 × 4,502.30
  4. Step 4: Simplify right side
    12,294.09x = 83,035,738.81
  5. Step 5: Solve for x
    x = 83,035,738.81/12,294.09
  6. Step 6: Final answer
    x = 6,754.12

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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.