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Finding the Fourth Proportional to 15,714.74, 23,567.10 and 5,182.80

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Solution

The fourth proportional to 15,714.74, 23,567.10 and 5,182.80 is: 7,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.74 : 23,567.10 = 5,182.80 : x
  2. Step 2: Convert to fraction form
    15,714.74/23,567.10 = 5,182.80/x
  3. Step 3: Cross multiply
    15,714.74x = 23,567.10 × 5,182.80
  4. Step 4: Simplify right side
    15,714.74x = 122,143,565.88
  5. Step 5: Solve for x
    x = 122,143,565.88/15,714.74
  6. Step 6: Final answer
    x = 7,772.55

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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.