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Finding the Fourth Proportional to 19,236, 26,545.76 and 10,404

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Solution

The fourth proportional to 19,236, 26,545.76 and 10,404 is: 14,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,236 : 26,545.76 = 10,404 : x
  2. Step 2: Convert to fraction form
    19,236/26,545.76 = 10,404/x
  3. Step 3: Cross multiply
    19,236x = 26,545.76 × 10,404
  4. Step 4: Simplify right side
    19,236x = 276,182,087.04
  5. Step 5: Solve for x
    x = 276,182,087.04/19,236
  6. Step 6: Final answer
    x = 14,357.56

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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.