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Finding the Fourth Proportional to 22,980.26, 31,716.18 and 14,032.95

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Solution

The fourth proportional to 22,980.26, 31,716.18 and 14,032.95 is: 19,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.26 : 31,716.18 = 14,032.95 : x
  2. Step 2: Convert to fraction form
    22,980.26/31,716.18 = 14,032.95/x
  3. Step 3: Cross multiply
    22,980.26x = 31,716.18 × 14,032.95
  4. Step 4: Simplify right side
    22,980.26x = 445,071,488.66
  5. Step 5: Solve for x
    x = 445,071,488.66/22,980.26
  6. Step 6: Final answer
    x = 19,367.56

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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.