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Finding the Fourth Proportional to 16,175, 22,322.54 and 9,805.96

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Solution

The fourth proportional to 16,175, 22,322.54 and 9,805.96 is: 13,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175 : 22,322.54 = 9,805.96 : x
  2. Step 2: Convert to fraction form
    16,175/22,322.54 = 9,805.96/x
  3. Step 3: Cross multiply
    16,175x = 22,322.54 × 9,805.96
  4. Step 4: Simplify right side
    16,175x = 218,893,934.34
  5. Step 5: Solve for x
    x = 218,893,934.34/16,175
  6. Step 6: Final answer
    x = 13,532.86

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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.