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Finding the Fourth Proportional to 16,465.77, 24,680.94 and 7,110.19

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Solution

The fourth proportional to 16,465.77, 24,680.94 and 7,110.19 is: 10,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.77 : 24,680.94 = 7,110.19 : x
  2. Step 2: Convert to fraction form
    16,465.77/24,680.94 = 7,110.19/x
  3. Step 3: Cross multiply
    16,465.77x = 24,680.94 × 7,110.19
  4. Step 4: Simplify right side
    16,465.77x = 175,486,172.78
  5. Step 5: Solve for x
    x = 175,486,172.78/16,465.77
  6. Step 6: Final answer
    x = 10,657.64

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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.