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Finding the Fourth Proportional to 13,574.68, 20,345.10 and 6,177.16

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Solution

The fourth proportional to 13,574.68, 20,345.10 and 6,177.16 is: 9,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.68 : 20,345.10 = 6,177.16 : x
  2. Step 2: Convert to fraction form
    13,574.68/20,345.10 = 6,177.16/x
  3. Step 3: Cross multiply
    13,574.68x = 20,345.10 × 6,177.16
  4. Step 4: Simplify right side
    13,574.68x = 125,674,937.92
  5. Step 5: Solve for x
    x = 125,674,937.92/13,574.68
  6. Step 6: Final answer
    x = 9,258.04

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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.