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Finding the Fourth Proportional to 14,669.83, 22,006.23 and 4,809.16

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Solution

The fourth proportional to 14,669.83, 22,006.23 and 4,809.16 is: 7,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,669.83 : 22,006.23 = 4,809.16 : x
  2. Step 2: Convert to fraction form
    14,669.83/22,006.23 = 4,809.16/x
  3. Step 3: Cross multiply
    14,669.83x = 22,006.23 × 4,809.16
  4. Step 4: Simplify right side
    14,669.83x = 105,831,481.07
  5. Step 5: Solve for x
    x = 105,831,481.07/14,669.83
  6. Step 6: Final answer
    x = 7,214.23

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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.