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Finding the Fourth Proportional to 22,802.76, 31,466.19 and 13,369.50

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Solution

The fourth proportional to 22,802.76, 31,466.19 and 13,369.50 is: 18,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.76 : 31,466.19 = 13,369.50 : x
  2. Step 2: Convert to fraction form
    22,802.76/31,466.19 = 13,369.50/x
  3. Step 3: Cross multiply
    22,802.76x = 31,466.19 × 13,369.50
  4. Step 4: Simplify right side
    22,802.76x = 420,687,227.21
  5. Step 5: Solve for x
    x = 420,687,227.21/22,802.76
  6. Step 6: Final answer
    x = 18,448.96

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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.