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Finding the Fourth Proportional to 15,903.36, 23,856.14 and 7,581.96

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Solution

The fourth proportional to 15,903.36, 23,856.14 and 7,581.96 is: 11,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.36 : 23,856.14 = 7,581.96 : x
  2. Step 2: Convert to fraction form
    15,903.36/23,856.14 = 7,581.96/x
  3. Step 3: Cross multiply
    15,903.36x = 23,856.14 × 7,581.96
  4. Step 4: Simplify right side
    15,903.36x = 180,876,299.23
  5. Step 5: Solve for x
    x = 180,876,299.23/15,903.36
  6. Step 6: Final answer
    x = 11,373.46

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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.