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Finding the Fourth Proportional to 12,089.34, 18,133.71 and 7,123.21

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Solution

The fourth proportional to 12,089.34, 18,133.71 and 7,123.21 is: 10,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.34 : 18,133.71 = 7,123.21 : x
  2. Step 2: Convert to fraction form
    12,089.34/18,133.71 = 7,123.21/x
  3. Step 3: Cross multiply
    12,089.34x = 18,133.71 × 7,123.21
  4. Step 4: Simplify right side
    12,089.34x = 129,170,224.41
  5. Step 5: Solve for x
    x = 129,170,224.41/12,089.34
  6. Step 6: Final answer
    x = 10,684.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.