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Finding the Fourth Proportional to 10,966.10, 16,424.85 and 9,022.10

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Solution

The fourth proportional to 10,966.10, 16,424.85 and 9,022.10 is: 13,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.10 : 16,424.85 = 9,022.10 : x
  2. Step 2: Convert to fraction form
    10,966.10/16,424.85 = 9,022.10/x
  3. Step 3: Cross multiply
    10,966.10x = 16,424.85 × 9,022.10
  4. Step 4: Simplify right side
    10,966.10x = 148,186,639.19
  5. Step 5: Solve for x
    x = 148,186,639.19/10,966.10
  6. Step 6: Final answer
    x = 13,513.16

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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.