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Finding the Fourth Proportional to 38,009.40, 57,014.10 and 15,815.40

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Solution

The fourth proportional to 38,009.40, 57,014.10 and 15,815.40 is: 23,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009.40 : 57,014.10 = 15,815.40 : x
  2. Step 2: Convert to fraction form
    38,009.40/57,014.10 = 15,815.40/x
  3. Step 3: Cross multiply
    38,009.40x = 57,014.10 × 15,815.40
  4. Step 4: Simplify right side
    38,009.40x = 901,700,797.14
  5. Step 5: Solve for x
    x = 901,700,797.14/38,009.40
  6. Step 6: Final answer
    x = 23,723.10

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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.