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Finding the Fourth Proportional to 16,499.84, 22,767.71 and 9,426.72

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Solution

The fourth proportional to 16,499.84, 22,767.71 and 9,426.72 is: 13,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,499.84 : 22,767.71 = 9,426.72 : x
  2. Step 2: Convert to fraction form
    16,499.84/22,767.71 = 9,426.72/x
  3. Step 3: Cross multiply
    16,499.84x = 22,767.71 × 9,426.72
  4. Step 4: Simplify right side
    16,499.84x = 214,624,780.08
  5. Step 5: Solve for x
    x = 214,624,780.08/16,499.84
  6. Step 6: Final answer
    x = 13,007.69

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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.