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Finding the Fourth Proportional to 12,657.59, 18,987.77 and 7,758.71

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Solution

The fourth proportional to 12,657.59, 18,987.77 and 7,758.71 is: 11,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.59 : 18,987.77 = 7,758.71 : x
  2. Step 2: Convert to fraction form
    12,657.59/18,987.77 = 7,758.71/x
  3. Step 3: Cross multiply
    12,657.59x = 18,987.77 × 7,758.71
  4. Step 4: Simplify right side
    12,657.59x = 147,320,600.98
  5. Step 5: Solve for x
    x = 147,320,600.98/12,657.59
  6. Step 6: Final answer
    x = 11,638.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.