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Finding the Fourth Proportional to 12,780.68, 19,168.11 and 4,013.51

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Solution

The fourth proportional to 12,780.68, 19,168.11 and 4,013.51 is: 6,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.68 : 19,168.11 = 4,013.51 : x
  2. Step 2: Convert to fraction form
    12,780.68/19,168.11 = 4,013.51/x
  3. Step 3: Cross multiply
    12,780.68x = 19,168.11 × 4,013.51
  4. Step 4: Simplify right side
    12,780.68x = 76,931,305.33
  5. Step 5: Solve for x
    x = 76,931,305.33/12,780.68
  6. Step 6: Final answer
    x = 6,019.35

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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.