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Finding the Fourth Proportional to 14,802.10, 22,202.83 and 4,806.83

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Solution

The fourth proportional to 14,802.10, 22,202.83 and 4,806.83 is: 7,210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,802.10 : 22,202.83 = 4,806.83 : x
  2. Step 2: Convert to fraction form
    14,802.10/22,202.83 = 4,806.83/x
  3. Step 3: Cross multiply
    14,802.10x = 22,202.83 × 4,806.83
  4. Step 4: Simplify right side
    14,802.10x = 106,725,229.33
  5. Step 5: Solve for x
    x = 106,725,229.33/14,802.10
  6. Step 6: Final answer
    x = 7,210.14

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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.