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Finding the Fourth Proportional to 22,597.36, 31,177.52 and 14,648.96

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Solution

The fourth proportional to 22,597.36, 31,177.52 and 14,648.96 is: 20,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,597.36 : 31,177.52 = 14,648.96 : x
  2. Step 2: Convert to fraction form
    22,597.36/31,177.52 = 14,648.96/x
  3. Step 3: Cross multiply
    22,597.36x = 31,177.52 × 14,648.96
  4. Step 4: Simplify right side
    22,597.36x = 456,718,243.38
  5. Step 5: Solve for x
    x = 456,718,243.38/22,597.36
  6. Step 6: Final answer
    x = 20,211.13

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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.