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Finding the Fourth Proportional to 12,856.55, 17,742.12 and 7,482.18

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Solution

The fourth proportional to 12,856.55, 17,742.12 and 7,482.18 is: 10,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.55 : 17,742.12 = 7,482.18 : x
  2. Step 2: Convert to fraction form
    12,856.55/17,742.12 = 7,482.18/x
  3. Step 3: Cross multiply
    12,856.55x = 17,742.12 × 7,482.18
  4. Step 4: Simplify right side
    12,856.55x = 132,749,735.42
  5. Step 5: Solve for x
    x = 132,749,735.42/12,856.55
  6. Step 6: Final answer
    x = 10,325.46

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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.