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Finding the Fourth Proportional to 25,200.52, 37,801.10 and 8,784.52

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Solution

The fourth proportional to 25,200.52, 37,801.10 and 8,784.52 is: 13,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200.52 : 37,801.10 = 8,784.52 : x
  2. Step 2: Convert to fraction form
    25,200.52/37,801.10 = 8,784.52/x
  3. Step 3: Cross multiply
    25,200.52x = 37,801.10 × 8,784.52
  4. Step 4: Simplify right side
    25,200.52x = 332,064,518.97
  5. Step 5: Solve for x
    x = 332,064,518.97/25,200.52
  6. Step 6: Final answer
    x = 13,176.89

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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.