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Finding the Fourth Proportional to 25,708.86, 35,476.38 and 15,097.05

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Solution

The fourth proportional to 25,708.86, 35,476.38 and 15,097.05 is: 20,832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708.86 : 35,476.38 = 15,097.05 : x
  2. Step 2: Convert to fraction form
    25,708.86/35,476.38 = 15,097.05/x
  3. Step 3: Cross multiply
    25,708.86x = 35,476.38 × 15,097.05
  4. Step 4: Simplify right side
    25,708.86x = 535,588,682.68
  5. Step 5: Solve for x
    x = 535,588,682.68/25,708.86
  6. Step 6: Final answer
    x = 20,832.84

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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.