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Finding the Fourth Proportional to 16,299.16, 22,493.62 and 9,585.16

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Solution

The fourth proportional to 16,299.16, 22,493.62 and 9,585.16 is: 13,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.16 : 22,493.62 = 9,585.16 : x
  2. Step 2: Convert to fraction form
    16,299.16/22,493.62 = 9,585.16/x
  3. Step 3: Cross multiply
    16,299.16x = 22,493.62 × 9,585.16
  4. Step 4: Simplify right side
    16,299.16x = 215,604,946.68
  5. Step 5: Solve for x
    x = 215,604,946.68/16,299.16
  6. Step 6: Final answer
    x = 13,227.98

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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.