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Finding the Fourth Proportional to 22,598.46, 31,188.65 and 13,167.63

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Solution

The fourth proportional to 22,598.46, 31,188.65 and 13,167.63 is: 18,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,598.46 : 31,188.65 = 13,167.63 : x
  2. Step 2: Convert to fraction form
    22,598.46/31,188.65 = 13,167.63/x
  3. Step 3: Cross multiply
    22,598.46x = 31,188.65 × 13,167.63
  4. Step 4: Simplify right side
    22,598.46x = 410,680,537.56
  5. Step 5: Solve for x
    x = 410,680,537.56/22,598.46
  6. Step 6: Final answer
    x = 18,172.94

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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.