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Finding the Fourth Proportional to 25,353, 34,987.14 and 14,175

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Solution

The fourth proportional to 25,353, 34,987.14 and 14,175 is: 19,561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,353 : 34,987.14 = 14,175 : x
  2. Step 2: Convert to fraction form
    25,353/34,987.14 = 14,175/x
  3. Step 3: Cross multiply
    25,353x = 34,987.14 × 14,175
  4. Step 4: Simplify right side
    25,353x = 495,942,709.50
  5. Step 5: Solve for x
    x = 495,942,709.50/25,353
  6. Step 6: Final answer
    x = 19,561.50

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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.