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Finding the Fourth Proportional to 10,969.62, 16,461.72 and 10,240.62

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Solution

The fourth proportional to 10,969.62, 16,461.72 and 10,240.62 is: 15,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.62 : 16,461.72 = 10,240.62 : x
  2. Step 2: Convert to fraction form
    10,969.62/16,461.72 = 10,240.62/x
  3. Step 3: Cross multiply
    10,969.62x = 16,461.72 × 10,240.62
  4. Step 4: Simplify right side
    10,969.62x = 168,578,219.07
  5. Step 5: Solve for x
    x = 168,578,219.07/10,969.62
  6. Step 6: Final answer
    x = 15,367.74

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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.