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Finding the Fourth Proportional to 24,786, 34,206.50 and 15,356.39

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Solution

The fourth proportional to 24,786, 34,206.50 and 15,356.39 is: 21,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786 : 34,206.50 = 15,356.39 : x
  2. Step 2: Convert to fraction form
    24,786/34,206.50 = 15,356.39/x
  3. Step 3: Cross multiply
    24,786x = 34,206.50 × 15,356.39
  4. Step 4: Simplify right side
    24,786x = 525,288,221.89
  5. Step 5: Solve for x
    x = 525,288,221.89/24,786
  6. Step 6: Final answer
    x = 21,192.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.