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Finding the Fourth Proportional to 16,339.62, 22,549.79 and 9,266.50

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Solution

The fourth proportional to 16,339.62, 22,549.79 and 9,266.50 is: 12,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.62 : 22,549.79 = 9,266.50 : x
  2. Step 2: Convert to fraction form
    16,339.62/22,549.79 = 9,266.50/x
  3. Step 3: Cross multiply
    16,339.62x = 22,549.79 × 9,266.50
  4. Step 4: Simplify right side
    16,339.62x = 208,957,680.39
  5. Step 5: Solve for x
    x = 208,957,680.39/16,339.62
  6. Step 6: Final answer
    x = 12,788.40

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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.