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Finding the Fourth Proportional to 16,099.04, 22,210.78 and 9,809.12

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Solution

The fourth proportional to 16,099.04, 22,210.78 and 9,809.12 is: 13,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.04 : 22,210.78 = 9,809.12 : x
  2. Step 2: Convert to fraction form
    16,099.04/22,210.78 = 9,809.12/x
  3. Step 3: Cross multiply
    16,099.04x = 22,210.78 × 9,809.12
  4. Step 4: Simplify right side
    16,099.04x = 217,868,206.31
  5. Step 5: Solve for x
    x = 217,868,206.31/16,099.04
  6. Step 6: Final answer
    x = 13,532.99

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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.