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Finding the Fourth Proportional to 29,646.32, 40,911.08 and 16,217.28

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Solution

The fourth proportional to 29,646.32, 40,911.08 and 16,217.28 is: 22,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,646.32 : 40,911.08 = 16,217.28 : x
  2. Step 2: Convert to fraction form
    29,646.32/40,911.08 = 16,217.28/x
  3. Step 3: Cross multiply
    29,646.32x = 40,911.08 × 16,217.28
  4. Step 4: Simplify right side
    29,646.32x = 663,466,358.38
  5. Step 5: Solve for x
    x = 663,466,358.38/29,646.32
  6. Step 6: Final answer
    x = 22,379.39

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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.