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Finding the Fourth Proportional to 16,412.71, 22,649.25 and 9,338.98

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Solution

The fourth proportional to 16,412.71, 22,649.25 and 9,338.98 is: 12,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.71 : 22,649.25 = 9,338.98 : x
  2. Step 2: Convert to fraction form
    16,412.71/22,649.25 = 9,338.98/x
  3. Step 3: Cross multiply
    16,412.71x = 22,649.25 × 9,338.98
  4. Step 4: Simplify right side
    16,412.71x = 211,520,892.77
  5. Step 5: Solve for x
    x = 211,520,892.77/16,412.71
  6. Step 6: Final answer
    x = 12,887.63

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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.