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Finding the Fourth Proportional to 12,065.95, 16,658.81 and 9,833.16

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Solution

The fourth proportional to 12,065.95, 16,658.81 and 9,833.16 is: 13,576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.95 : 16,658.81 = 9,833.16 : x
  2. Step 2: Convert to fraction form
    12,065.95/16,658.81 = 9,833.16/x
  3. Step 3: Cross multiply
    12,065.95x = 16,658.81 × 9,833.16
  4. Step 4: Simplify right side
    12,065.95x = 163,808,744.14
  5. Step 5: Solve for x
    x = 163,808,744.14/12,065.95
  6. Step 6: Final answer
    x = 13,576.12

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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.