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Finding the Fourth Proportional to 24,947.69, 34,426.96 and 14,870.94

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Solution

The fourth proportional to 24,947.69, 34,426.96 and 14,870.94 is: 20,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.69 : 34,426.96 = 14,870.94 : x
  2. Step 2: Convert to fraction form
    24,947.69/34,426.96 = 14,870.94/x
  3. Step 3: Cross multiply
    24,947.69x = 34,426.96 × 14,870.94
  4. Step 4: Simplify right side
    24,947.69x = 511,961,053.09
  5. Step 5: Solve for x
    x = 511,961,053.09/24,947.69
  6. Step 6: Final answer
    x = 20,521.38

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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.