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Finding the Fourth Proportional to 25,952.64, 38,922.48 and 8,427.48

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Solution

The fourth proportional to 25,952.64, 38,922.48 and 8,427.48 is: 12,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.64 : 38,922.48 = 8,427.48 : x
  2. Step 2: Convert to fraction form
    25,952.64/38,922.48 = 8,427.48/x
  3. Step 3: Cross multiply
    25,952.64x = 38,922.48 × 8,427.48
  4. Step 4: Simplify right side
    25,952.64x = 328,018,421.75
  5. Step 5: Solve for x
    x = 328,018,421.75/25,952.64
  6. Step 6: Final answer
    x = 12,639.12

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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.