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Finding the Fourth Proportional to 17,641.78, 24,346.04 and 10,088.80

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Solution

The fourth proportional to 17,641.78, 24,346.04 and 10,088.80 is: 13,922.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.78 : 24,346.04 = 10,088.80 : x
  2. Step 2: Convert to fraction form
    17,641.78/24,346.04 = 10,088.80/x
  3. Step 3: Cross multiply
    17,641.78x = 24,346.04 × 10,088.80
  4. Step 4: Simplify right side
    17,641.78x = 245,622,156.18
  5. Step 5: Solve for x
    x = 245,622,156.18/17,641.78
  6. Step 6: Final answer
    x = 13,922.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.