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Finding the Fourth Proportional to 12,749.28, 17,595.18 and 7,714.74

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Solution

The fourth proportional to 12,749.28, 17,595.18 and 7,714.74 is: 10,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.28 : 17,595.18 = 7,714.74 : x
  2. Step 2: Convert to fraction form
    12,749.28/17,595.18 = 7,714.74/x
  3. Step 3: Cross multiply
    12,749.28x = 17,595.18 × 7,714.74
  4. Step 4: Simplify right side
    12,749.28x = 135,742,238.95
  5. Step 5: Solve for x
    x = 135,742,238.95/12,749.28
  6. Step 6: Final answer
    x = 10,647.05

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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.