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Finding the Fourth Proportional to 15,813.09, 23,733.27 and 8,800.11

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Solution

The fourth proportional to 15,813.09, 23,733.27 and 8,800.11 is: 13,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.09 : 23,733.27 = 8,800.11 : x
  2. Step 2: Convert to fraction form
    15,813.09/23,733.27 = 8,800.11/x
  3. Step 3: Cross multiply
    15,813.09x = 23,733.27 × 8,800.11
  4. Step 4: Simplify right side
    15,813.09x = 208,855,386.66
  5. Step 5: Solve for x
    x = 208,855,386.66/15,813.09
  6. Step 6: Final answer
    x = 13,207.75

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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.