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Finding the Fourth Proportional to 19,159.20, 28,726.92 and 7,458.75

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Solution

The fourth proportional to 19,159.20, 28,726.92 and 7,458.75 is: 11,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,159.20 : 28,726.92 = 7,458.75 : x
  2. Step 2: Convert to fraction form
    19,159.20/28,726.92 = 7,458.75/x
  3. Step 3: Cross multiply
    19,159.20x = 28,726.92 × 7,458.75
  4. Step 4: Simplify right side
    19,159.20x = 214,266,914.55
  5. Step 5: Solve for x
    x = 214,266,914.55/19,159.20
  6. Step 6: Final answer
    x = 11,183.50

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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.