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Finding the Fourth Proportional to 22,925.47, 31,637.13 and 12,853.88

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Solution

The fourth proportional to 22,925.47, 31,637.13 and 12,853.88 is: 17,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925.47 : 31,637.13 = 12,853.88 : x
  2. Step 2: Convert to fraction form
    22,925.47/31,637.13 = 12,853.88/x
  3. Step 3: Cross multiply
    22,925.47x = 31,637.13 × 12,853.88
  4. Step 4: Simplify right side
    22,925.47x = 406,659,872.56
  5. Step 5: Solve for x
    x = 406,659,872.56/22,925.47
  6. Step 6: Final answer
    x = 17,738.34

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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.