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Finding the Fourth Proportional to 22,473.48, 31,013.73 and 12,402.39

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Solution

The fourth proportional to 22,473.48, 31,013.73 and 12,402.39 is: 17,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,473.48 : 31,013.73 = 12,402.39 : x
  2. Step 2: Convert to fraction form
    22,473.48/31,013.73 = 12,402.39/x
  3. Step 3: Cross multiply
    22,473.48x = 31,013.73 × 12,402.39
  4. Step 4: Simplify right side
    22,473.48x = 384,644,374.81
  5. Step 5: Solve for x
    x = 384,644,374.81/22,473.48
  6. Step 6: Final answer
    x = 17,115.48

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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.