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Finding the Fourth Proportional to 22,752.86, 34,106.19 and 8,709.29

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Solution

The fourth proportional to 22,752.86, 34,106.19 and 8,709.29 is: 13,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.86 : 34,106.19 = 8,709.29 : x
  2. Step 2: Convert to fraction form
    22,752.86/34,106.19 = 8,709.29/x
  3. Step 3: Cross multiply
    22,752.86x = 34,106.19 × 8,709.29
  4. Step 4: Simplify right side
    22,752.86x = 297,040,699.51
  5. Step 5: Solve for x
    x = 297,040,699.51/22,752.86
  6. Step 6: Final answer
    x = 13,055.09

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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.