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Finding the Fourth Proportional to 38,400.68, 57,607.08 and 13,440.12

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Solution

The fourth proportional to 38,400.68, 57,607.08 and 13,440.12 is: 20,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.68 : 57,607.08 = 13,440.12 : x
  2. Step 2: Convert to fraction form
    38,400.68/57,607.08 = 13,440.12/x
  3. Step 3: Cross multiply
    38,400.68x = 57,607.08 × 13,440.12
  4. Step 4: Simplify right side
    38,400.68x = 774,246,068.05
  5. Step 5: Solve for x
    x = 774,246,068.05/38,400.68
  6. Step 6: Final answer
    x = 20,162.30

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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.