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Finding the Fourth Proportional to 25,801.76, 35,612.28 and 17,746.16

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Solution

The fourth proportional to 25,801.76, 35,612.28 and 17,746.16 is: 24,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,801.76 : 35,612.28 = 17,746.16 : x
  2. Step 2: Convert to fraction form
    25,801.76/35,612.28 = 17,746.16/x
  3. Step 3: Cross multiply
    25,801.76x = 35,612.28 × 17,746.16
  4. Step 4: Simplify right side
    25,801.76x = 631,981,218.84
  5. Step 5: Solve for x
    x = 631,981,218.84/25,801.76
  6. Step 6: Final answer
    x = 24,493.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.