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Finding the Fourth Proportional to 13,263.02, 19,899.92 and 8,524.48

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Solution

The fourth proportional to 13,263.02, 19,899.92 and 8,524.48 is: 12,790.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,263.02 : 19,899.92 = 8,524.48 : x
  2. Step 2: Convert to fraction form
    13,263.02/19,899.92 = 8,524.48/x
  3. Step 3: Cross multiply
    13,263.02x = 19,899.92 × 8,524.48
  4. Step 4: Simplify right side
    13,263.02x = 169,636,470.04
  5. Step 5: Solve for x
    x = 169,636,470.04/13,263.02
  6. Step 6: Final answer
    x = 12,790.18

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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.