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Finding the Fourth Proportional to 25,359, 34,995.54 and 14,181

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Solution

The fourth proportional to 25,359, 34,995.54 and 14,181 is: 19,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,359 : 34,995.54 = 14,181 : x
  2. Step 2: Convert to fraction form
    25,359/34,995.54 = 14,181/x
  3. Step 3: Cross multiply
    25,359x = 34,995.54 × 14,181
  4. Step 4: Simplify right side
    25,359x = 496,271,752.74
  5. Step 5: Solve for x
    x = 496,271,752.74/25,359
  6. Step 6: Final answer
    x = 19,569.85

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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.