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Finding the Fourth Proportional to 25,185.84, 34,756.38 and 14,007.84

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Solution

The fourth proportional to 25,185.84, 34,756.38 and 14,007.84 is: 19,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,185.84 : 34,756.38 = 14,007.84 : x
  2. Step 2: Convert to fraction form
    25,185.84/34,756.38 = 14,007.84/x
  3. Step 3: Cross multiply
    25,185.84x = 34,756.38 × 14,007.84
  4. Step 4: Simplify right side
    25,185.84x = 486,861,810.02
  5. Step 5: Solve for x
    x = 486,861,810.02/25,185.84
  6. Step 6: Final answer
    x = 19,330.78

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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.