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Finding the Fourth Proportional to 24,735.40, 34,133.22 and 15,781.95

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Solution

The fourth proportional to 24,735.40, 34,133.22 and 15,781.95 is: 21,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735.40 : 34,133.22 = 15,781.95 : x
  2. Step 2: Convert to fraction form
    24,735.40/34,133.22 = 15,781.95/x
  3. Step 3: Cross multiply
    24,735.40x = 34,133.22 × 15,781.95
  4. Step 4: Simplify right side
    24,735.40x = 538,688,771.38
  5. Step 5: Solve for x
    x = 538,688,771.38/24,735.40
  6. Step 6: Final answer
    x = 21,778.05

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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.