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Finding the Fourth Proportional to 30,841.90, 42,561.78 and 16,694.71

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Solution

The fourth proportional to 30,841.90, 42,561.78 and 16,694.71 is: 23,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.90 : 42,561.78 = 16,694.71 : x
  2. Step 2: Convert to fraction form
    30,841.90/42,561.78 = 16,694.71/x
  3. Step 3: Cross multiply
    30,841.90x = 42,561.78 × 16,694.71
  4. Step 4: Simplify right side
    30,841.90x = 710,556,574.18
  5. Step 5: Solve for x
    x = 710,556,574.18/30,841.90
  6. Step 6: Final answer
    x = 23,038.68

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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.