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Finding the Fourth Proportional to 22,769.90, 31,422.64 and 12,698.99

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Solution

The fourth proportional to 22,769.90, 31,422.64 and 12,698.99 is: 17,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.90 : 31,422.64 = 12,698.99 : x
  2. Step 2: Convert to fraction form
    22,769.90/31,422.64 = 12,698.99/x
  3. Step 3: Cross multiply
    22,769.90x = 31,422.64 × 12,698.99
  4. Step 4: Simplify right side
    22,769.90x = 399,035,602.27
  5. Step 5: Solve for x
    x = 399,035,602.27/22,769.90
  6. Step 6: Final answer
    x = 17,524.70

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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.