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Finding the Fourth Proportional to 16,646.50, 22,972.17 and 9,572.77

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Solution

The fourth proportional to 16,646.50, 22,972.17 and 9,572.77 is: 13,210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.50 : 22,972.17 = 9,572.77 : x
  2. Step 2: Convert to fraction form
    16,646.50/22,972.17 = 9,572.77/x
  3. Step 3: Cross multiply
    16,646.50x = 22,972.17 × 9,572.77
  4. Step 4: Simplify right side
    16,646.50x = 219,907,299.81
  5. Step 5: Solve for x
    x = 219,907,299.81/16,646.50
  6. Step 6: Final answer
    x = 13,210.42

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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.