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Finding the Fourth Proportional to 17,575.68, 24,255.06 and 10,020.78

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Solution

The fourth proportional to 17,575.68, 24,255.06 and 10,020.78 is: 13,829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,575.68 : 24,255.06 = 10,020.78 : x
  2. Step 2: Convert to fraction form
    17,575.68/24,255.06 = 10,020.78/x
  3. Step 3: Cross multiply
    17,575.68x = 24,255.06 × 10,020.78
  4. Step 4: Simplify right side
    17,575.68x = 243,054,620.15
  5. Step 5: Solve for x
    x = 243,054,620.15/17,575.68
  6. Step 6: Final answer
    x = 13,829.03

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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.