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Finding the Fourth Proportional to 16,412.94, 22,649.82 and 9,700.98

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Solution

The fourth proportional to 16,412.94, 22,649.82 and 9,700.98 is: 13,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.94 : 22,649.82 = 9,700.98 : x
  2. Step 2: Convert to fraction form
    16,412.94/22,649.82 = 9,700.98/x
  3. Step 3: Cross multiply
    16,412.94x = 22,649.82 × 9,700.98
  4. Step 4: Simplify right side
    16,412.94x = 219,725,450.82
  5. Step 5: Solve for x
    x = 219,725,450.82/16,412.94
  6. Step 6: Final answer
    x = 13,387.33

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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.