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Finding the Fourth Proportional to 28,314.78, 42,478.13 and 11,674.68

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Solution

The fourth proportional to 28,314.78, 42,478.13 and 11,674.68 is: 17,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314.78 : 42,478.13 = 11,674.68 : x
  2. Step 2: Convert to fraction form
    28,314.78/42,478.13 = 11,674.68/x
  3. Step 3: Cross multiply
    28,314.78x = 42,478.13 × 11,674.68
  4. Step 4: Simplify right side
    28,314.78x = 495,918,574.75
  5. Step 5: Solve for x
    x = 495,918,574.75/28,314.78
  6. Step 6: Final answer
    x = 17,514.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.