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Finding the Fourth Proportional to 22,622.90, 31,209.10 and 14,119.52

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Solution

The fourth proportional to 22,622.90, 31,209.10 and 14,119.52 is: 19,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,622.90 : 31,209.10 = 14,119.52 : x
  2. Step 2: Convert to fraction form
    22,622.90/31,209.10 = 14,119.52/x
  3. Step 3: Cross multiply
    22,622.90x = 31,209.10 × 14,119.52
  4. Step 4: Simplify right side
    22,622.90x = 440,657,320.29
  5. Step 5: Solve for x
    x = 440,657,320.29/22,622.90
  6. Step 6: Final answer
    x = 19,478.38

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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.