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Finding the Fourth Proportional to 30,841.44, 42,562.80 and 17,417.04

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Solution

The fourth proportional to 30,841.44, 42,562.80 and 17,417.04 is: 24,036.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.44 : 42,562.80 = 17,417.04 : x
  2. Step 2: Convert to fraction form
    30,841.44/42,562.80 = 17,417.04/x
  3. Step 3: Cross multiply
    30,841.44x = 42,562.80 × 17,417.04
  4. Step 4: Simplify right side
    30,841.44x = 741,317,990.11
  5. Step 5: Solve for x
    x = 741,317,990.11/30,841.44
  6. Step 6: Final answer
    x = 24,036.43

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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.