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Finding the Fourth Proportional to 25,838.68, 35,657.38 and 15,091

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Solution

The fourth proportional to 25,838.68, 35,657.38 and 15,091 is: 20,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.68 : 35,657.38 = 15,091 : x
  2. Step 2: Convert to fraction form
    25,838.68/35,657.38 = 15,091/x
  3. Step 3: Cross multiply
    25,838.68x = 35,657.38 × 15,091
  4. Step 4: Simplify right side
    25,838.68x = 538,105,521.58
  5. Step 5: Solve for x
    x = 538,105,521.58/25,838.68
  6. Step 6: Final answer
    x = 20,825.58

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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.