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Finding the Fourth Proportional to 22,851.84, 34,272.96 and 6,432

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Solution

The fourth proportional to 22,851.84, 34,272.96 and 6,432 is: 9,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851.84 : 34,272.96 = 6,432 : x
  2. Step 2: Convert to fraction form
    22,851.84/34,272.96 = 6,432/x
  3. Step 3: Cross multiply
    22,851.84x = 34,272.96 × 6,432
  4. Step 4: Simplify right side
    22,851.84x = 220,443,678.72
  5. Step 5: Solve for x
    x = 220,443,678.72/22,851.84
  6. Step 6: Final answer
    x = 9,646.65

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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.