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Finding the Fourth Proportional to 23,520.96, 35,264.64 and 11,034

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Solution

The fourth proportional to 23,520.96, 35,264.64 and 11,034 is: 16,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520.96 : 35,264.64 = 11,034 : x
  2. Step 2: Convert to fraction form
    23,520.96/35,264.64 = 11,034/x
  3. Step 3: Cross multiply
    23,520.96x = 35,264.64 × 11,034
  4. Step 4: Simplify right side
    23,520.96x = 389,110,037.76
  5. Step 5: Solve for x
    x = 389,110,037.76/23,520.96
  6. Step 6: Final answer
    x = 16,543.12

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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.