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Finding the Fourth Proportional to 15,901.76, 23,856.48 and 5,513.28

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Solution

The fourth proportional to 15,901.76, 23,856.48 and 5,513.28 is: 8,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.76 : 23,856.48 = 5,513.28 : x
  2. Step 2: Convert to fraction form
    15,901.76/23,856.48 = 5,513.28/x
  3. Step 3: Cross multiply
    15,901.76x = 23,856.48 × 5,513.28
  4. Step 4: Simplify right side
    15,901.76x = 131,527,454.05
  5. Step 5: Solve for x
    x = 131,527,454.05/15,901.76
  6. Step 6: Final answer
    x = 8,271.25

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