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Finding the Fourth Proportional to 12,415.46, 17,132.84 and 7,110.78

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Solution

The fourth proportional to 12,415.46, 17,132.84 and 7,110.78 is: 9,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.46 : 17,132.84 = 7,110.78 : x
  2. Step 2: Convert to fraction form
    12,415.46/17,132.84 = 7,110.78/x
  3. Step 3: Cross multiply
    12,415.46x = 17,132.84 × 7,110.78
  4. Step 4: Simplify right side
    12,415.46x = 121,827,856.02
  5. Step 5: Solve for x
    x = 121,827,856.02/12,415.46
  6. Step 6: Final answer
    x = 9,812.59

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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.