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Finding the Fourth Proportional to 25,276.51, 37,920.17 and 9,694

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Solution

The fourth proportional to 25,276.51, 37,920.17 and 9,694 is: 14,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,276.51 : 37,920.17 = 9,694 : x
  2. Step 2: Convert to fraction form
    25,276.51/37,920.17 = 9,694/x
  3. Step 3: Cross multiply
    25,276.51x = 37,920.17 × 9,694
  4. Step 4: Simplify right side
    25,276.51x = 367,598,127.98
  5. Step 5: Solve for x
    x = 367,598,127.98/25,276.51
  6. Step 6: Final answer
    x = 14,543.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.