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Finding the Fourth Proportional to 19,159.74, 28,739.62 and 6,013.14

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Solution

The fourth proportional to 19,159.74, 28,739.62 and 6,013.14 is: 9,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,159.74 : 28,739.62 = 6,013.14 : x
  2. Step 2: Convert to fraction form
    19,159.74/28,739.62 = 6,013.14/x
  3. Step 3: Cross multiply
    19,159.74x = 28,739.62 × 6,013.14
  4. Step 4: Simplify right side
    19,159.74x = 172,815,358.61
  5. Step 5: Solve for x
    x = 172,815,358.61/19,159.74
  6. Step 6: Final answer
    x = 9,019.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.