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Finding the Fourth Proportional to 30,949, 42,710.40 and 16,801.84

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Solution

The fourth proportional to 30,949, 42,710.40 and 16,801.84 is: 23,186.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949 : 42,710.40 = 16,801.84 : x
  2. Step 2: Convert to fraction form
    30,949/42,710.40 = 16,801.84/x
  3. Step 3: Cross multiply
    30,949x = 42,710.40 × 16,801.84
  4. Step 4: Simplify right side
    30,949x = 717,613,307.14
  5. Step 5: Solve for x
    x = 717,613,307.14/30,949
  6. Step 6: Final answer
    x = 23,186.96

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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.