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Finding the Fourth Proportional to 15,135.68, 20,886.84 and 8,421.32

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Solution

The fourth proportional to 15,135.68, 20,886.84 and 8,421.32 is: 11,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.68 : 20,886.84 = 8,421.32 : x
  2. Step 2: Convert to fraction form
    15,135.68/20,886.84 = 8,421.32/x
  3. Step 3: Cross multiply
    15,135.68x = 20,886.84 × 8,421.32
  4. Step 4: Simplify right side
    15,135.68x = 175,894,763.43
  5. Step 5: Solve for x
    x = 175,894,763.43/15,135.68
  6. Step 6: Final answer
    x = 11,621.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.