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Finding the Fourth Proportional to 22,617.74, 31,192.06 and 14,120.65

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Solution

The fourth proportional to 22,617.74, 31,192.06 and 14,120.65 is: 19,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,617.74 : 31,192.06 = 14,120.65 : x
  2. Step 2: Convert to fraction form
    22,617.74/31,192.06 = 14,120.65/x
  3. Step 3: Cross multiply
    22,617.74x = 31,192.06 × 14,120.65
  4. Step 4: Simplify right side
    22,617.74x = 440,452,319.65
  5. Step 5: Solve for x
    x = 440,452,319.65/22,617.74
  6. Step 6: Final answer
    x = 19,473.75

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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.