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Finding the Fourth Proportional to 25,486.84, 35,175.09 and 15,415.36

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Solution

The fourth proportional to 25,486.84, 35,175.09 and 15,415.36 is: 21,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,486.84 : 35,175.09 = 15,415.36 : x
  2. Step 2: Convert to fraction form
    25,486.84/35,175.09 = 15,415.36/x
  3. Step 3: Cross multiply
    25,486.84x = 35,175.09 × 15,415.36
  4. Step 4: Simplify right side
    25,486.84x = 542,236,675.38
  5. Step 5: Solve for x
    x = 542,236,675.38/25,486.84
  6. Step 6: Final answer
    x = 21,275.16

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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.