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Finding the Fourth Proportional to 22,964.98, 31,689.60 and 13,405.70

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Solution

The fourth proportional to 22,964.98, 31,689.60 and 13,405.70 is: 18,498.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.98 : 31,689.60 = 13,405.70 : x
  2. Step 2: Convert to fraction form
    22,964.98/31,689.60 = 13,405.70/x
  3. Step 3: Cross multiply
    22,964.98x = 31,689.60 × 13,405.70
  4. Step 4: Simplify right side
    22,964.98x = 424,821,112.27
  5. Step 5: Solve for x
    x = 424,821,112.27/22,964.98
  6. Step 6: Final answer
    x = 18,498.65

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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.