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Finding the Fourth Proportional to 15,729.74, 23,594.80 and 4,042.64

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Solution

The fourth proportional to 15,729.74, 23,594.80 and 4,042.64 is: 6,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.74 : 23,594.80 = 4,042.64 : x
  2. Step 2: Convert to fraction form
    15,729.74/23,594.80 = 4,042.64/x
  3. Step 3: Cross multiply
    15,729.74x = 23,594.80 × 4,042.64
  4. Step 4: Simplify right side
    15,729.74x = 95,385,282.27
  5. Step 5: Solve for x
    x = 95,385,282.27/15,729.74
  6. Step 6: Final answer
    x = 6,064.01

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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.