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Finding the Fourth Proportional to 22,489.68, 31,035.72 and 12,418.32

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Solution

The fourth proportional to 22,489.68, 31,035.72 and 12,418.32 is: 17,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.68 : 31,035.72 = 12,418.32 : x
  2. Step 2: Convert to fraction form
    22,489.68/31,035.72 = 12,418.32/x
  3. Step 3: Cross multiply
    22,489.68x = 31,035.72 × 12,418.32
  4. Step 4: Simplify right side
    22,489.68x = 385,411,502.39
  5. Step 5: Solve for x
    x = 385,411,502.39/22,489.68
  6. Step 6: Final answer
    x = 17,137.26

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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.