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Finding the Fourth Proportional to 38,832.48, 58,242.24 and 11,124

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Solution

The fourth proportional to 38,832.48, 58,242.24 and 11,124 is: 16,684.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832.48 : 58,242.24 = 11,124 : x
  2. Step 2: Convert to fraction form
    38,832.48/58,242.24 = 11,124/x
  3. Step 3: Cross multiply
    38,832.48x = 58,242.24 × 11,124
  4. Step 4: Simplify right side
    38,832.48x = 647,886,677.76
  5. Step 5: Solve for x
    x = 647,886,677.76/38,832.48
  6. Step 6: Final answer
    x = 16,684.14

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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.