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Finding the Fourth Proportional to 22,661.64, 31,272.63 and 12,589.65

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Solution

The fourth proportional to 22,661.64, 31,272.63 and 12,589.65 is: 17,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.64 : 31,272.63 = 12,589.65 : x
  2. Step 2: Convert to fraction form
    22,661.64/31,272.63 = 12,589.65/x
  3. Step 3: Cross multiply
    22,661.64x = 31,272.63 × 12,589.65
  4. Step 4: Simplify right side
    22,661.64x = 393,711,466.28
  5. Step 5: Solve for x
    x = 393,711,466.28/22,661.64
  6. Step 6: Final answer
    x = 17,373.48

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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.