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Finding the Fourth Proportional to 10,616.62, 14,643.52 and 9,012.22

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Solution

The fourth proportional to 10,616.62, 14,643.52 and 9,012.22 is: 12,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.62 : 14,643.52 = 9,012.22 : x
  2. Step 2: Convert to fraction form
    10,616.62/14,643.52 = 9,012.22/x
  3. Step 3: Cross multiply
    10,616.62x = 14,643.52 × 9,012.22
  4. Step 4: Simplify right side
    10,616.62x = 131,970,623.81
  5. Step 5: Solve for x
    x = 131,970,623.81/10,616.62
  6. Step 6: Final answer
    x = 12,430.57

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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.