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Finding the Fourth Proportional to 16,288.49, 22,477.04 and 9,117.16

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Solution

The fourth proportional to 16,288.49, 22,477.04 and 9,117.16 is: 12,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.49 : 22,477.04 = 9,117.16 : x
  2. Step 2: Convert to fraction form
    16,288.49/22,477.04 = 9,117.16/x
  3. Step 3: Cross multiply
    16,288.49x = 22,477.04 × 9,117.16
  4. Step 4: Simplify right side
    16,288.49x = 204,926,753.70
  5. Step 5: Solve for x
    x = 204,926,753.70/16,288.49
  6. Step 6: Final answer
    x = 12,581.08

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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.