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Finding the Fourth Proportional to 22,966.34, 31,697.01 and 14,019.04

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Solution

The fourth proportional to 22,966.34, 31,697.01 and 14,019.04 is: 19,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,966.34 : 31,697.01 = 14,019.04 : x
  2. Step 2: Convert to fraction form
    22,966.34/31,697.01 = 14,019.04/x
  3. Step 3: Cross multiply
    22,966.34x = 31,697.01 × 14,019.04
  4. Step 4: Simplify right side
    22,966.34x = 444,361,690.69
  5. Step 5: Solve for x
    x = 444,361,690.69/22,966.34
  6. Step 6: Final answer
    x = 19,348.39

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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.