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Finding the Fourth Proportional to 16,158.69, 22,298.81 and 9,084.96

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Solution

The fourth proportional to 16,158.69, 22,298.81 and 9,084.96 is: 12,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.69 : 22,298.81 = 9,084.96 : x
  2. Step 2: Convert to fraction form
    16,158.69/22,298.81 = 9,084.96/x
  3. Step 3: Cross multiply
    16,158.69x = 22,298.81 × 9,084.96
  4. Step 4: Simplify right side
    16,158.69x = 202,583,751.47
  5. Step 5: Solve for x
    x = 202,583,751.47/16,158.69
  6. Step 6: Final answer
    x = 12,537.14

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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.