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Finding the Fourth Proportional to 22,903.84, 31,606.90 and 12,832.24

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Solution

The fourth proportional to 22,903.84, 31,606.90 and 12,832.24 is: 17,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.84 : 31,606.90 = 12,832.24 : x
  2. Step 2: Convert to fraction form
    22,903.84/31,606.90 = 12,832.24/x
  3. Step 3: Cross multiply
    22,903.84x = 31,606.90 × 12,832.24
  4. Step 4: Simplify right side
    22,903.84x = 405,587,326.46
  5. Step 5: Solve for x
    x = 405,587,326.46/22,903.84
  6. Step 6: Final answer
    x = 17,708.27

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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.