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Finding the Fourth Proportional to 25,853.32, 35,673.06 and 14,673.16

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Solution

The fourth proportional to 25,853.32, 35,673.06 and 14,673.16 is: 20,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.32 : 35,673.06 = 14,673.16 : x
  2. Step 2: Convert to fraction form
    25,853.32/35,673.06 = 14,673.16/x
  3. Step 3: Cross multiply
    25,853.32x = 35,673.06 × 14,673.16
  4. Step 4: Simplify right side
    25,853.32x = 523,436,517.07
  5. Step 5: Solve for x
    x = 523,436,517.07/25,853.32
  6. Step 6: Final answer
    x = 20,246.39

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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.