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Finding the Fourth Proportional to 10,755.81, 14,802.57 and 9,099

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Solution

The fourth proportional to 10,755.81, 14,802.57 and 9,099 is: 12,522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.81 : 14,802.57 = 9,099 : x
  2. Step 2: Convert to fraction form
    10,755.81/14,802.57 = 9,099/x
  3. Step 3: Cross multiply
    10,755.81x = 14,802.57 × 9,099
  4. Step 4: Simplify right side
    10,755.81x = 134,688,584.43
  5. Step 5: Solve for x
    x = 134,688,584.43/10,755.81
  6. Step 6: Final answer
    x = 12,522.40

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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.