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Finding the Fourth Proportional to 15,714.25, 23,566.35 and 5,182.30

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Solution

The fourth proportional to 15,714.25, 23,566.35 and 5,182.30 is: 7,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.25 : 23,566.35 = 5,182.30 : x
  2. Step 2: Convert to fraction form
    15,714.25/23,566.35 = 5,182.30/x
  3. Step 3: Cross multiply
    15,714.25x = 23,566.35 × 5,182.30
  4. Step 4: Simplify right side
    15,714.25x = 122,127,895.61
  5. Step 5: Solve for x
    x = 122,127,895.61/15,714.25
  6. Step 6: Final answer
    x = 7,771.79

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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.