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Finding the Fourth Proportional to 25,042, 34,559.10 and 13,864

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Solution

The fourth proportional to 25,042, 34,559.10 and 13,864 is: 19,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042 : 34,559.10 = 13,864 : x
  2. Step 2: Convert to fraction form
    25,042/34,559.10 = 13,864/x
  3. Step 3: Cross multiply
    25,042x = 34,559.10 × 13,864
  4. Step 4: Simplify right side
    25,042x = 479,127,362.40
  5. Step 5: Solve for x
    x = 479,127,362.40/25,042
  6. Step 6: Final answer
    x = 19,132.95

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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.