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Finding the Fourth Proportional to 12,785.68, 19,180.40 and 4,017.68

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Solution

The fourth proportional to 12,785.68, 19,180.40 and 4,017.68 is: 6,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.68 : 19,180.40 = 4,017.68 : x
  2. Step 2: Convert to fraction form
    12,785.68/19,180.40 = 4,017.68/x
  3. Step 3: Cross multiply
    12,785.68x = 19,180.40 × 4,017.68
  4. Step 4: Simplify right side
    12,785.68x = 77,060,709.47
  5. Step 5: Solve for x
    x = 77,060,709.47/12,785.68
  6. Step 6: Final answer
    x = 6,027.11

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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.