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Finding the Fourth Proportional to 22,684.64, 31,302.98 and 12,612.30

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Solution

The fourth proportional to 22,684.64, 31,302.98 and 12,612.30 is: 17,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.64 : 31,302.98 = 12,612.30 : x
  2. Step 2: Convert to fraction form
    22,684.64/31,302.98 = 12,612.30/x
  3. Step 3: Cross multiply
    22,684.64x = 31,302.98 × 12,612.30
  4. Step 4: Simplify right side
    22,684.64x = 394,802,574.65
  5. Step 5: Solve for x
    x = 394,802,574.65/22,684.64
  6. Step 6: Final answer
    x = 17,403.96

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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.