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Finding the Fourth Proportional to 18,233.12, 27,315.12 and 9,005.60

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Solution

The fourth proportional to 18,233.12, 27,315.12 and 9,005.60 is: 13,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233.12 : 27,315.12 = 9,005.60 : x
  2. Step 2: Convert to fraction form
    18,233.12/27,315.12 = 9,005.60/x
  3. Step 3: Cross multiply
    18,233.12x = 27,315.12 × 9,005.60
  4. Step 4: Simplify right side
    18,233.12x = 245,989,044.67
  5. Step 5: Solve for x
    x = 245,989,044.67/18,233.12
  6. Step 6: Final answer
    x = 13,491.33

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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.