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Finding the Fourth Proportional to 30,838.64, 42,557.42 and 16,691.48

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Solution

The fourth proportional to 30,838.64, 42,557.42 and 16,691.48 is: 23,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,838.64 : 42,557.42 = 16,691.48 : x
  2. Step 2: Convert to fraction form
    30,838.64/42,557.42 = 16,691.48/x
  3. Step 3: Cross multiply
    30,838.64x = 42,557.42 × 16,691.48
  4. Step 4: Simplify right side
    30,838.64x = 710,346,028.54
  5. Step 5: Solve for x
    x = 710,346,028.54/30,838.64
  6. Step 6: Final answer
    x = 23,034.29

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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.