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Finding the Fourth Proportional to 12,758.68, 19,089.93 and 11,463.76

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Solution

The fourth proportional to 12,758.68, 19,089.93 and 11,463.76 is: 17,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.68 : 19,089.93 = 11,463.76 : x
  2. Step 2: Convert to fraction form
    12,758.68/19,089.93 = 11,463.76/x
  3. Step 3: Cross multiply
    12,758.68x = 19,089.93 × 11,463.76
  4. Step 4: Simplify right side
    12,758.68x = 218,842,375.94
  5. Step 5: Solve for x
    x = 218,842,375.94/12,758.68
  6. Step 6: Final answer
    x = 17,152.43

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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.