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Finding the Fourth Proportional to 12,285.26, 18,410.29 and 7,009.36

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Solution

The fourth proportional to 12,285.26, 18,410.29 and 7,009.36 is: 10,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.26 : 18,410.29 = 7,009.36 : x
  2. Step 2: Convert to fraction form
    12,285.26/18,410.29 = 7,009.36/x
  3. Step 3: Cross multiply
    12,285.26x = 18,410.29 × 7,009.36
  4. Step 4: Simplify right side
    12,285.26x = 129,044,286.77
  5. Step 5: Solve for x
    x = 129,044,286.77/12,285.26
  6. Step 6: Final answer
    x = 10,503.99

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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.