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Finding the Fourth Proportional to 16,537.11, 22,821.62 and 9,465.81

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Solution

The fourth proportional to 16,537.11, 22,821.62 and 9,465.81 is: 13,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537.11 : 22,821.62 = 9,465.81 : x
  2. Step 2: Convert to fraction form
    16,537.11/22,821.62 = 9,465.81/x
  3. Step 3: Cross multiply
    16,537.11x = 22,821.62 × 9,465.81
  4. Step 4: Simplify right side
    16,537.11x = 216,025,071.48
  5. Step 5: Solve for x
    x = 216,025,071.48/16,537.11
  6. Step 6: Final answer
    x = 13,063.05

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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.