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Finding the Fourth Proportional to 22,804.30, 31,470.51 and 12,732.34

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Solution

The fourth proportional to 22,804.30, 31,470.51 and 12,732.34 is: 17,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,804.30 : 31,470.51 = 12,732.34 : x
  2. Step 2: Convert to fraction form
    22,804.30/31,470.51 = 12,732.34/x
  3. Step 3: Cross multiply
    22,804.30x = 31,470.51 × 12,732.34
  4. Step 4: Simplify right side
    22,804.30x = 400,693,233.29
  5. Step 5: Solve for x
    x = 400,693,233.29/22,804.30
  6. Step 6: Final answer
    x = 17,570.95

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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.