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Finding the Fourth Proportional to 22,944, 34,421.76 and 6,528

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Solution

The fourth proportional to 22,944, 34,421.76 and 6,528 is: 9,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,944 : 34,421.76 = 6,528 : x
  2. Step 2: Convert to fraction form
    22,944/34,421.76 = 6,528/x
  3. Step 3: Cross multiply
    22,944x = 34,421.76 × 6,528
  4. Step 4: Simplify right side
    22,944x = 224,705,249.28
  5. Step 5: Solve for x
    x = 224,705,249.28/22,944
  6. Step 6: Final answer
    x = 9,793.64

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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.