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Finding the Fourth Proportional to 12,089.36, 16,685.93 and 9,225.53

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Solution

The fourth proportional to 12,089.36, 16,685.93 and 9,225.53 is: 12,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.36 : 16,685.93 = 9,225.53 : x
  2. Step 2: Convert to fraction form
    12,089.36/16,685.93 = 9,225.53/x
  3. Step 3: Cross multiply
    12,089.36x = 16,685.93 × 9,225.53
  4. Step 4: Simplify right side
    12,089.36x = 153,936,418.24
  5. Step 5: Solve for x
    x = 153,936,418.24/12,089.36
  6. Step 6: Final answer
    x = 12,733.21

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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.