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Finding the Fourth Proportional to 25,897.66, 35,737.38 and 15,283.42

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Solution

The fourth proportional to 25,897.66, 35,737.38 and 15,283.42 is: 21,090.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.66 : 35,737.38 = 15,283.42 : x
  2. Step 2: Convert to fraction form
    25,897.66/35,737.38 = 15,283.42/x
  3. Step 3: Cross multiply
    25,897.66x = 35,737.38 × 15,283.42
  4. Step 4: Simplify right side
    25,897.66x = 546,189,388.24
  5. Step 5: Solve for x
    x = 546,189,388.24/25,897.66
  6. Step 6: Final answer
    x = 21,090.30

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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.