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Finding the Fourth Proportional to 22,466.40, 31,009.80 and 13,038

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Solution

The fourth proportional to 22,466.40, 31,009.80 and 13,038 is: 17,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466.40 : 31,009.80 = 13,038 : x
  2. Step 2: Convert to fraction form
    22,466.40/31,009.80 = 13,038/x
  3. Step 3: Cross multiply
    22,466.40x = 31,009.80 × 13,038
  4. Step 4: Simplify right side
    22,466.40x = 404,305,772.40
  5. Step 5: Solve for x
    x = 404,305,772.40/22,466.40
  6. Step 6: Final answer
    x = 17,996.02

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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.