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Finding the Fourth Proportional to 25,888.86, 35,704.67 and 21,875.38

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Solution

The fourth proportional to 25,888.86, 35,704.67 and 21,875.38 is: 30,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,888.86 : 35,704.67 = 21,875.38 : x
  2. Step 2: Convert to fraction form
    25,888.86/35,704.67 = 21,875.38/x
  3. Step 3: Cross multiply
    25,888.86x = 35,704.67 × 21,875.38
  4. Step 4: Simplify right side
    25,888.86x = 781,053,025.39
  5. Step 5: Solve for x
    x = 781,053,025.39/25,888.86
  6. Step 6: Final answer
    x = 30,169.46

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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.