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Finding the Fourth Proportional to 22,988, 31,723.48 and 13,052

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Solution

The fourth proportional to 22,988, 31,723.48 and 13,052 is: 18,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,988 : 31,723.48 = 13,052 : x
  2. Step 2: Convert to fraction form
    22,988/31,723.48 = 13,052/x
  3. Step 3: Cross multiply
    22,988x = 31,723.48 × 13,052
  4. Step 4: Simplify right side
    22,988x = 414,054,860.96
  5. Step 5: Solve for x
    x = 414,054,860.96/22,988
  6. Step 6: Final answer
    x = 18,011.78

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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.