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Finding the Fourth Proportional to 25,326.96, 37,987.52 and 6,857.52

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Solution

The fourth proportional to 25,326.96, 37,987.52 and 6,857.52 is: 10,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,326.96 : 37,987.52 = 6,857.52 : x
  2. Step 2: Convert to fraction form
    25,326.96/37,987.52 = 6,857.52/x
  3. Step 3: Cross multiply
    25,326.96x = 37,987.52 × 6,857.52
  4. Step 4: Simplify right side
    25,326.96x = 260,500,178.15
  5. Step 5: Solve for x
    x = 260,500,178.15/25,326.96
  6. Step 6: Final answer
    x = 10,285.49

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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.