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Finding the Fourth Proportional to 16,106.30, 22,220.13 and 10,802.83

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Solution

The fourth proportional to 16,106.30, 22,220.13 and 10,802.83 is: 14,903.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.30 : 22,220.13 = 10,802.83 : x
  2. Step 2: Convert to fraction form
    16,106.30/22,220.13 = 10,802.83/x
  3. Step 3: Cross multiply
    16,106.30x = 22,220.13 × 10,802.83
  4. Step 4: Simplify right side
    16,106.30x = 240,040,313.59
  5. Step 5: Solve for x
    x = 240,040,313.59/16,106.30
  6. Step 6: Final answer
    x = 14,903.50

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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.