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Finding the Fourth Proportional to 24,813.38, 34,240.65 and 16,415.30

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Solution

The fourth proportional to 24,813.38, 34,240.65 and 16,415.30 is: 22,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.38 : 34,240.65 = 16,415.30 : x
  2. Step 2: Convert to fraction form
    24,813.38/34,240.65 = 16,415.30/x
  3. Step 3: Cross multiply
    24,813.38x = 34,240.65 × 16,415.30
  4. Step 4: Simplify right side
    24,813.38x = 562,070,541.95
  5. Step 5: Solve for x
    x = 562,070,541.95/24,813.38
  6. Step 6: Final answer
    x = 22,651.91

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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.