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Finding the Fourth Proportional to 17,535.06, 24,201.54 and 10,461.96

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Solution

The fourth proportional to 17,535.06, 24,201.54 and 10,461.96 is: 14,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535.06 : 24,201.54 = 10,461.96 : x
  2. Step 2: Convert to fraction form
    17,535.06/24,201.54 = 10,461.96/x
  3. Step 3: Cross multiply
    17,535.06x = 24,201.54 × 10,461.96
  4. Step 4: Simplify right side
    17,535.06x = 253,195,543.42
  5. Step 5: Solve for x
    x = 253,195,543.42/17,535.06
  6. Step 6: Final answer
    x = 14,439.39

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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.