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Finding the Fourth Proportional to 25,829.88, 38,750.40 and 8,301.48

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Solution

The fourth proportional to 25,829.88, 38,750.40 and 8,301.48 is: 12,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829.88 : 38,750.40 = 8,301.48 : x
  2. Step 2: Convert to fraction form
    25,829.88/38,750.40 = 8,301.48/x
  3. Step 3: Cross multiply
    25,829.88x = 38,750.40 × 8,301.48
  4. Step 4: Simplify right side
    25,829.88x = 321,685,670.59
  5. Step 5: Solve for x
    x = 321,685,670.59/25,829.88
  6. Step 6: Final answer
    x = 12,454.01

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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.