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Finding the Fourth Proportional to 12,430.10, 18,669.84 and 7,442.12

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Solution

The fourth proportional to 12,430.10, 18,669.84 and 7,442.12 is: 11,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.10 : 18,669.84 = 7,442.12 : x
  2. Step 2: Convert to fraction form
    12,430.10/18,669.84 = 7,442.12/x
  3. Step 3: Cross multiply
    12,430.10x = 18,669.84 × 7,442.12
  4. Step 4: Simplify right side
    12,430.10x = 138,943,189.66
  5. Step 5: Solve for x
    x = 138,943,189.66/12,430.10
  6. Step 6: Final answer
    x = 11,177.96

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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.