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Finding the Fourth Proportional to 25,197.79, 34,774.39 and 14,444.46

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Solution

The fourth proportional to 25,197.79, 34,774.39 and 14,444.46 is: 19,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197.79 : 34,774.39 = 14,444.46 : x
  2. Step 2: Convert to fraction form
    25,197.79/34,774.39 = 14,444.46/x
  3. Step 3: Cross multiply
    25,197.79x = 34,774.39 × 14,444.46
  4. Step 4: Simplify right side
    25,197.79x = 502,297,285.38
  5. Step 5: Solve for x
    x = 502,297,285.38/25,197.79
  6. Step 6: Final answer
    x = 19,934.18

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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.