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Finding the Fourth Proportional to 38,282.60, 57,406.62 and 13,659.24

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Solution

The fourth proportional to 38,282.60, 57,406.62 and 13,659.24 is: 20,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.60 : 57,406.62 = 13,659.24 : x
  2. Step 2: Convert to fraction form
    38,282.60/57,406.62 = 13,659.24/x
  3. Step 3: Cross multiply
    38,282.60x = 57,406.62 × 13,659.24
  4. Step 4: Simplify right side
    38,282.60x = 784,130,800.17
  5. Step 5: Solve for x
    x = 784,130,800.17/38,282.60
  6. Step 6: Final answer
    x = 20,482.69

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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.