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Finding the Fourth Proportional to 22,980.17, 31,711.79 and 14,042.63

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Solution

The fourth proportional to 22,980.17, 31,711.79 and 14,042.63 is: 19,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980.17 : 31,711.79 = 14,042.63 : x
  2. Step 2: Convert to fraction form
    22,980.17/31,711.79 = 14,042.63/x
  3. Step 3: Cross multiply
    22,980.17x = 31,711.79 × 14,042.63
  4. Step 4: Simplify right side
    22,980.17x = 445,317,047.99
  5. Step 5: Solve for x
    x = 445,317,047.99/22,980.17
  6. Step 6: Final answer
    x = 19,378.32

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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.