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Finding the Fourth Proportional to 22,863.28, 31,542.04 and 13,903.60

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Solution

The fourth proportional to 22,863.28, 31,542.04 and 13,903.60 is: 19,181.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,863.28 : 31,542.04 = 13,903.60 : x
  2. Step 2: Convert to fraction form
    22,863.28/31,542.04 = 13,903.60/x
  3. Step 3: Cross multiply
    22,863.28x = 31,542.04 × 13,903.60
  4. Step 4: Simplify right side
    22,863.28x = 438,547,907.34
  5. Step 5: Solve for x
    x = 438,547,907.34/22,863.28
  6. Step 6: Final answer
    x = 19,181.32

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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.