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Finding the Fourth Proportional to 25,885, 38,833.98 and 7,417

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Solution

The fourth proportional to 25,885, 38,833.98 and 7,417 is: 11,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885 : 38,833.98 = 7,417 : x
  2. Step 2: Convert to fraction form
    25,885/38,833.98 = 7,417/x
  3. Step 3: Cross multiply
    25,885x = 38,833.98 × 7,417
  4. Step 4: Simplify right side
    25,885x = 288,031,629.66
  5. Step 5: Solve for x
    x = 288,031,629.66/25,885
  6. Step 6: Final answer
    x = 11,127.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.