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Finding the Fourth Proportional to 19,856.92, 27,402.34 and 10,904.34

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Solution

The fourth proportional to 19,856.92, 27,402.34 and 10,904.34 is: 15,047.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.92 : 27,402.34 = 10,904.34 : x
  2. Step 2: Convert to fraction form
    19,856.92/27,402.34 = 10,904.34/x
  3. Step 3: Cross multiply
    19,856.92x = 27,402.34 × 10,904.34
  4. Step 4: Simplify right side
    19,856.92x = 298,804,432.16
  5. Step 5: Solve for x
    x = 298,804,432.16/19,856.92
  6. Step 6: Final answer
    x = 15,047.87

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1.5x scale

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.