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Finding the Fourth Proportional to 19,002.50, 28,507.53 and 5,854.31

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Solution

The fourth proportional to 19,002.50, 28,507.53 and 5,854.31 is: 8,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,002.50 : 28,507.53 = 5,854.31 : x
  2. Step 2: Convert to fraction form
    19,002.50/28,507.53 = 5,854.31/x
  3. Step 3: Cross multiply
    19,002.50x = 28,507.53 × 5,854.31
  4. Step 4: Simplify right side
    19,002.50x = 166,891,917.95
  5. Step 5: Solve for x
    x = 166,891,917.95/19,002.50
  6. Step 6: Final answer
    x = 8,782.63

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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.