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Finding the Fourth Proportional to 12,856.26, 17,741.76 and 7,551.18

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Solution

The fourth proportional to 12,856.26, 17,741.76 and 7,551.18 is: 10,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.26 : 17,741.76 = 7,551.18 : x
  2. Step 2: Convert to fraction form
    12,856.26/17,741.76 = 7,551.18/x
  3. Step 3: Cross multiply
    12,856.26x = 17,741.76 × 7,551.18
  4. Step 4: Simplify right side
    12,856.26x = 133,971,223.28
  5. Step 5: Solve for x
    x = 133,971,223.28/12,856.26
  6. Step 6: Final answer
    x = 10,420.70

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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.