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Finding the Fourth Proportional to 25,833.38, 35,652.12 and 14,503.62

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Solution

The fourth proportional to 25,833.38, 35,652.12 and 14,503.62 is: 20,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.38 : 35,652.12 = 14,503.62 : x
  2. Step 2: Convert to fraction form
    25,833.38/35,652.12 = 14,503.62/x
  3. Step 3: Cross multiply
    25,833.38x = 35,652.12 × 14,503.62
  4. Step 4: Simplify right side
    25,833.38x = 517,084,851.95
  5. Step 5: Solve for x
    x = 517,084,851.95/25,833.38
  6. Step 6: Final answer
    x = 20,016.15

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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.