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Finding the Fourth Proportional to 25,886.16, 38,820.96 and 8,352

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Solution

The fourth proportional to 25,886.16, 38,820.96 and 8,352 is: 12,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.16 : 38,820.96 = 8,352 : x
  2. Step 2: Convert to fraction form
    25,886.16/38,820.96 = 8,352/x
  3. Step 3: Cross multiply
    25,886.16x = 38,820.96 × 8,352
  4. Step 4: Simplify right side
    25,886.16x = 324,232,657.92
  5. Step 5: Solve for x
    x = 324,232,657.92/25,886.16
  6. Step 6: Final answer
    x = 12,525.33

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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.