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Finding the Fourth Proportional to 21,452.44, 32,178.68 and 12,199

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Solution

The fourth proportional to 21,452.44, 32,178.68 and 12,199 is: 18,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,452.44 : 32,178.68 = 12,199 : x
  2. Step 2: Convert to fraction form
    21,452.44/32,178.68 = 12,199/x
  3. Step 3: Cross multiply
    21,452.44x = 32,178.68 × 12,199
  4. Step 4: Simplify right side
    21,452.44x = 392,547,717.32
  5. Step 5: Solve for x
    x = 392,547,717.32/21,452.44
  6. Step 6: Final answer
    x = 18,298.51

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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.