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Finding the Fourth Proportional to 15,727.76, 21,714.12 and 9,765.68

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Solution

The fourth proportional to 15,727.76, 21,714.12 and 9,765.68 is: 13,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,727.76 : 21,714.12 = 9,765.68 : x
  2. Step 2: Convert to fraction form
    15,727.76/21,714.12 = 9,765.68/x
  3. Step 3: Cross multiply
    15,727.76x = 21,714.12 × 9,765.68
  4. Step 4: Simplify right side
    15,727.76x = 212,053,147.40
  5. Step 5: Solve for x
    x = 212,053,147.40/15,727.76
  6. Step 6: Final answer
    x = 13,482.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.