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Finding the Fourth Proportional to 30,841.74, 42,561.42 and 16,694.58

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Solution

The fourth proportional to 30,841.74, 42,561.42 and 16,694.58 is: 23,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.74 : 42,561.42 = 16,694.58 : x
  2. Step 2: Convert to fraction form
    30,841.74/42,561.42 = 16,694.58/x
  3. Step 3: Cross multiply
    30,841.74x = 42,561.42 × 16,694.58
  4. Step 4: Simplify right side
    30,841.74x = 710,545,031.10
  5. Step 5: Solve for x
    x = 710,545,031.10/30,841.74
  6. Step 6: Final answer
    x = 23,038.42

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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.