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Finding the Fourth Proportional to 16,318.64, 22,519.14 and 9,244.10

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Solution

The fourth proportional to 16,318.64, 22,519.14 and 9,244.10 is: 12,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318.64 : 22,519.14 = 9,244.10 : x
  2. Step 2: Convert to fraction form
    16,318.64/22,519.14 = 9,244.10/x
  3. Step 3: Cross multiply
    16,318.64x = 22,519.14 × 9,244.10
  4. Step 4: Simplify right side
    16,318.64x = 208,169,182.07
  5. Step 5: Solve for x
    x = 208,169,182.07/16,318.64
  6. Step 6: Final answer
    x = 12,756.53

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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.