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Finding the Fourth Proportional to 22,802.58, 31,462.02 and 13,369.32

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Solution

The fourth proportional to 22,802.58, 31,462.02 and 13,369.32 is: 18,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.58 : 31,462.02 = 13,369.32 : x
  2. Step 2: Convert to fraction form
    22,802.58/31,462.02 = 13,369.32/x
  3. Step 3: Cross multiply
    22,802.58x = 31,462.02 × 13,369.32
  4. Step 4: Simplify right side
    22,802.58x = 420,625,813.23
  5. Step 5: Solve for x
    x = 420,625,813.23/22,802.58
  6. Step 6: Final answer
    x = 18,446.41

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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.