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Finding the Fourth Proportional to 10,500.73, 14,465.65 and 8,822.20

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Solution

The fourth proportional to 10,500.73, 14,465.65 and 8,822.20 is: 12,153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.73 : 14,465.65 = 8,822.20 : x
  2. Step 2: Convert to fraction form
    10,500.73/14,465.65 = 8,822.20/x
  3. Step 3: Cross multiply
    10,500.73x = 14,465.65 × 8,822.20
  4. Step 4: Simplify right side
    10,500.73x = 127,618,857.43
  5. Step 5: Solve for x
    x = 127,618,857.43/10,500.73
  6. Step 6: Final answer
    x = 12,153.33

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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.