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Finding the Fourth Proportional to 12,878.38, 19,320.54 and 4,113.28

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Solution

The fourth proportional to 12,878.38, 19,320.54 and 4,113.28 is: 6,170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.38 : 19,320.54 = 4,113.28 : x
  2. Step 2: Convert to fraction form
    12,878.38/19,320.54 = 4,113.28/x
  3. Step 3: Cross multiply
    12,878.38x = 19,320.54 × 4,113.28
  4. Step 4: Simplify right side
    12,878.38x = 79,470,790.77
  5. Step 5: Solve for x
    x = 79,470,790.77/12,878.38
  6. Step 6: Final answer
    x = 6,170.87

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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.