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Finding the Fourth Proportional to 19,898.75, 27,459.24 and 10,946.03

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Solution

The fourth proportional to 19,898.75, 27,459.24 and 10,946.03 is: 15,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,898.75 : 27,459.24 = 10,946.03 : x
  2. Step 2: Convert to fraction form
    19,898.75/27,459.24 = 10,946.03/x
  3. Step 3: Cross multiply
    19,898.75x = 27,459.24 × 10,946.03
  4. Step 4: Simplify right side
    19,898.75x = 300,569,527.52
  5. Step 5: Solve for x
    x = 300,569,527.52/19,898.75
  6. Step 6: Final answer
    x = 15,104.95

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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.