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Finding the Fourth Proportional to 25,444, 35,112.74 and 15,508

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Solution

The fourth proportional to 25,444, 35,112.74 and 15,508 is: 21,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444 : 35,112.74 = 15,508 : x
  2. Step 2: Convert to fraction form
    25,444/35,112.74 = 15,508/x
  3. Step 3: Cross multiply
    25,444x = 35,112.74 × 15,508
  4. Step 4: Simplify right side
    25,444x = 544,528,294.38
  5. Step 5: Solve for x
    x = 544,528,294.38/25,444
  6. Step 6: Final answer
    x = 21,401.05

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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.