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Finding the Fourth Proportional to 24,787.19, 34,219.65 and 19,109.49

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Solution

The fourth proportional to 24,787.19, 34,219.65 and 19,109.49 is: 26,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.19 : 34,219.65 = 19,109.49 : x
  2. Step 2: Convert to fraction form
    24,787.19/34,219.65 = 19,109.49/x
  3. Step 3: Cross multiply
    24,787.19x = 34,219.65 × 19,109.49
  4. Step 4: Simplify right side
    24,787.19x = 653,920,059.48
  5. Step 5: Solve for x
    x = 653,920,059.48/24,787.19
  6. Step 6: Final answer
    x = 26,381.38

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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.