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Finding the Fourth Proportional to 22,885.34, 31,583.52 and 13,328.20

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Solution

The fourth proportional to 22,885.34, 31,583.52 and 13,328.20 is: 18,393.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,885.34 : 31,583.52 = 13,328.20 : x
  2. Step 2: Convert to fraction form
    22,885.34/31,583.52 = 13,328.20/x
  3. Step 3: Cross multiply
    22,885.34x = 31,583.52 × 13,328.20
  4. Step 4: Simplify right side
    22,885.34x = 420,951,333.09
  5. Step 5: Solve for x
    x = 420,951,333.09/22,885.34
  6. Step 6: Final answer
    x = 18,393.93

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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.