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Finding the Fourth Proportional to 12,756.24, 17,603.72 and 8,281.68

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Solution

The fourth proportional to 12,756.24, 17,603.72 and 8,281.68 is: 11,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.24 : 17,603.72 = 8,281.68 : x
  2. Step 2: Convert to fraction form
    12,756.24/17,603.72 = 8,281.68/x
  3. Step 3: Cross multiply
    12,756.24x = 17,603.72 × 8,281.68
  4. Step 4: Simplify right side
    12,756.24x = 145,788,375.85
  5. Step 5: Solve for x
    x = 145,788,375.85/12,756.24
  6. Step 6: Final answer
    x = 11,428.79

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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.