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Finding the Fourth Proportional to 15,714.84, 23,572.10 and 4,027.88

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Solution

The fourth proportional to 15,714.84, 23,572.10 and 4,027.88 is: 6,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.84 : 23,572.10 = 4,027.88 : x
  2. Step 2: Convert to fraction form
    15,714.84/23,572.10 = 4,027.88/x
  3. Step 3: Cross multiply
    15,714.84x = 23,572.10 × 4,027.88
  4. Step 4: Simplify right side
    15,714.84x = 94,945,590.15
  5. Step 5: Solve for x
    x = 94,945,590.15/15,714.84
  6. Step 6: Final answer
    x = 6,041.78

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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.