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Finding the Fourth Proportional to 22,878.84, 31,584.26 and 14,385.63

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Solution

The fourth proportional to 22,878.84, 31,584.26 and 14,385.63 is: 19,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.84 : 31,584.26 = 14,385.63 : x
  2. Step 2: Convert to fraction form
    22,878.84/31,584.26 = 14,385.63/x
  3. Step 3: Cross multiply
    22,878.84x = 31,584.26 × 14,385.63
  4. Step 4: Simplify right side
    22,878.84x = 454,359,593.11
  5. Step 5: Solve for x
    x = 454,359,593.11/22,878.84
  6. Step 6: Final answer
    x = 19,859.38

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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.