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Finding the Fourth Proportional to 16,352.82, 22,567.13 and 9,184.29

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Solution

The fourth proportional to 16,352.82, 22,567.13 and 9,184.29 is: 12,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.82 : 22,567.13 = 9,184.29 : x
  2. Step 2: Convert to fraction form
    16,352.82/22,567.13 = 9,184.29/x
  3. Step 3: Cross multiply
    16,352.82x = 22,567.13 × 9,184.29
  4. Step 4: Simplify right side
    16,352.82x = 207,262,935.84
  5. Step 5: Solve for x
    x = 207,262,935.84/16,352.82
  6. Step 6: Final answer
    x = 12,674.45

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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.