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Finding the Fourth Proportional to 22,782.63, 31,440.93 and 12,711.95

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Solution

The fourth proportional to 22,782.63, 31,440.93 and 12,711.95 is: 17,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.63 : 31,440.93 = 12,711.95 : x
  2. Step 2: Convert to fraction form
    22,782.63/31,440.93 = 12,711.95/x
  3. Step 3: Cross multiply
    22,782.63x = 31,440.93 × 12,711.95
  4. Step 4: Simplify right side
    22,782.63x = 399,675,530.11
  5. Step 5: Solve for x
    x = 399,675,530.11/22,782.63
  6. Step 6: Final answer
    x = 17,542.99

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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.