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Finding the Fourth Proportional to 25,202.52, 37,802.58 and 8,561.88

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Solution

The fourth proportional to 25,202.52, 37,802.58 and 8,561.88 is: 12,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.52 : 37,802.58 = 8,561.88 : x
  2. Step 2: Convert to fraction form
    25,202.52/37,802.58 = 8,561.88/x
  3. Step 3: Cross multiply
    25,202.52x = 37,802.58 × 8,561.88
  4. Step 4: Simplify right side
    25,202.52x = 323,661,153.65
  5. Step 5: Solve for x
    x = 323,661,153.65/25,202.52
  6. Step 6: Final answer
    x = 12,842.41

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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.