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Finding the Fourth Proportional to 22,990, 31,730.60 and 15,018.48

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Solution

The fourth proportional to 22,990, 31,730.60 and 15,018.48 is: 20,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,990 : 31,730.60 = 15,018.48 : x
  2. Step 2: Convert to fraction form
    22,990/31,730.60 = 15,018.48/x
  3. Step 3: Cross multiply
    22,990x = 31,730.60 × 15,018.48
  4. Step 4: Simplify right side
    22,990x = 476,545,381.49
  5. Step 5: Solve for x
    x = 476,545,381.49/22,990
  6. Step 6: Final answer
    x = 20,728.38

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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.