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Finding the Fourth Proportional to 16,070.49, 22,174.64 and 10,097.93

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Solution

The fourth proportional to 16,070.49, 22,174.64 and 10,097.93 is: 13,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.49 : 22,174.64 = 10,097.93 : x
  2. Step 2: Convert to fraction form
    16,070.49/22,174.64 = 10,097.93/x
  3. Step 3: Cross multiply
    16,070.49x = 22,174.64 × 10,097.93
  4. Step 4: Simplify right side
    16,070.49x = 223,917,801.13
  5. Step 5: Solve for x
    x = 223,917,801.13/16,070.49
  6. Step 6: Final answer
    x = 13,933.48

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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.