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Finding the Fourth Proportional to 19,441.57, 29,161.14 and 10,078.78

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Solution

The fourth proportional to 19,441.57, 29,161.14 and 10,078.78 is: 15,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441.57 : 29,161.14 = 10,078.78 : x
  2. Step 2: Convert to fraction form
    19,441.57/29,161.14 = 10,078.78/x
  3. Step 3: Cross multiply
    19,441.57x = 29,161.14 × 10,078.78
  4. Step 4: Simplify right side
    19,441.57x = 293,908,714.61
  5. Step 5: Solve for x
    x = 293,908,714.61/19,441.57
  6. Step 6: Final answer
    x = 15,117.54

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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.