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Finding the Fourth Proportional to 22,776.26, 31,430.34 and 13,215.65

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Solution

The fourth proportional to 22,776.26, 31,430.34 and 13,215.65 is: 18,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.26 : 31,430.34 = 13,215.65 : x
  2. Step 2: Convert to fraction form
    22,776.26/31,430.34 = 13,215.65/x
  3. Step 3: Cross multiply
    22,776.26x = 31,430.34 × 13,215.65
  4. Step 4: Simplify right side
    22,776.26x = 415,372,215.67
  5. Step 5: Solve for x
    x = 415,372,215.67/22,776.26
  6. Step 6: Final answer
    x = 18,237.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.