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Finding the Fourth Proportional to 25,295.28, 34,908.66 and 13,966.38

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Solution

The fourth proportional to 25,295.28, 34,908.66 and 13,966.38 is: 19,274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.28 : 34,908.66 = 13,966.38 : x
  2. Step 2: Convert to fraction form
    25,295.28/34,908.66 = 13,966.38/x
  3. Step 3: Cross multiply
    25,295.28x = 34,908.66 × 13,966.38
  4. Step 4: Simplify right side
    25,295.28x = 487,547,610.85
  5. Step 5: Solve for x
    x = 487,547,610.85/25,295.28
  6. Step 6: Final answer
    x = 19,274.25

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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.