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Finding the Fourth Proportional to 16,341.70, 22,549.20 and 9,266.76

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Solution

The fourth proportional to 16,341.70, 22,549.20 and 9,266.76 is: 12,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.70 : 22,549.20 = 9,266.76 : x
  2. Step 2: Convert to fraction form
    16,341.70/22,549.20 = 9,266.76/x
  3. Step 3: Cross multiply
    16,341.70x = 22,549.20 × 9,266.76
  4. Step 4: Simplify right side
    16,341.70x = 208,958,024.59
  5. Step 5: Solve for x
    x = 208,958,024.59/16,341.70
  6. Step 6: Final answer
    x = 12,786.80

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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.