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Finding the Fourth Proportional to 16,352.69, 22,566.95 and 9,184.16

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Solution

The fourth proportional to 16,352.69, 22,566.95 and 9,184.16 is: 12,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,352.69 : 22,566.95 = 9,184.16 : x
  2. Step 2: Convert to fraction form
    16,352.69/22,566.95 = 9,184.16/x
  3. Step 3: Cross multiply
    16,352.69x = 22,566.95 × 9,184.16
  4. Step 4: Simplify right side
    16,352.69x = 207,258,488.37
  5. Step 5: Solve for x
    x = 207,258,488.37/16,352.69
  6. Step 6: Final answer
    x = 12,674.27

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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.