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Finding the Fourth Proportional to 25,049, 34,570.14 and 13,871

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Solution

The fourth proportional to 25,049, 34,570.14 and 13,871 is: 19,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,049 : 34,570.14 = 13,871 : x
  2. Step 2: Convert to fraction form
    25,049/34,570.14 = 13,871/x
  3. Step 3: Cross multiply
    25,049x = 34,570.14 × 13,871
  4. Step 4: Simplify right side
    25,049x = 479,522,411.94
  5. Step 5: Solve for x
    x = 479,522,411.94/25,049
  6. Step 6: Final answer
    x = 19,143.38

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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.