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Finding the Fourth Proportional to 24,790, 34,212.03 and 15,360.40

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Solution

The fourth proportional to 24,790, 34,212.03 and 15,360.40 is: 21,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,790 : 34,212.03 = 15,360.40 : x
  2. Step 2: Convert to fraction form
    24,790/34,212.03 = 15,360.40/x
  3. Step 3: Cross multiply
    24,790x = 34,212.03 × 15,360.40
  4. Step 4: Simplify right side
    24,790x = 525,510,465.61
  5. Step 5: Solve for x
    x = 525,510,465.61/24,790
  6. Step 6: Final answer
    x = 21,198.49

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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.