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Finding the Fourth Proportional to 22,659.90, 34,011.47 and 13,911.90

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Solution

The fourth proportional to 22,659.90, 34,011.47 and 13,911.90 is: 20,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,659.90 : 34,011.47 = 13,911.90 : x
  2. Step 2: Convert to fraction form
    22,659.90/34,011.47 = 13,911.90/x
  3. Step 3: Cross multiply
    22,659.90x = 34,011.47 × 13,911.90
  4. Step 4: Simplify right side
    22,659.90x = 473,164,169.49
  5. Step 5: Solve for x
    x = 473,164,169.49/22,659.90
  6. Step 6: Final answer
    x = 20,881.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.