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Finding the Fourth Proportional to 25,358, 34,994.16 and 14,180

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Solution

The fourth proportional to 25,358, 34,994.16 and 14,180 is: 19,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358 : 34,994.16 = 14,180 : x
  2. Step 2: Convert to fraction form
    25,358/34,994.16 = 14,180/x
  3. Step 3: Cross multiply
    25,358x = 34,994.16 × 14,180
  4. Step 4: Simplify right side
    25,358x = 496,217,188.80
  5. Step 5: Solve for x
    x = 496,217,188.80/25,358
  6. Step 6: Final answer
    x = 19,568.47

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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.