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Finding the Fourth Proportional to 25,893.46, 38,848.35 and 9,253.12

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Solution

The fourth proportional to 25,893.46, 38,848.35 and 9,253.12 is: 13,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.46 : 38,848.35 = 9,253.12 : x
  2. Step 2: Convert to fraction form
    25,893.46/38,848.35 = 9,253.12/x
  3. Step 3: Cross multiply
    25,893.46x = 38,848.35 × 9,253.12
  4. Step 4: Simplify right side
    25,893.46x = 359,468,203.84
  5. Step 5: Solve for x
    x = 359,468,203.84/25,893.46
  6. Step 6: Final answer
    x = 13,882.59

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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.