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Finding the Fourth Proportional to 30,561.40, 42,174.88 and 17,823.42

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Solution

The fourth proportional to 30,561.40, 42,174.88 and 17,823.42 is: 24,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,561.40 : 42,174.88 = 17,823.42 : x
  2. Step 2: Convert to fraction form
    30,561.40/42,174.88 = 17,823.42/x
  3. Step 3: Cross multiply
    30,561.40x = 42,174.88 × 17,823.42
  4. Step 4: Simplify right side
    30,561.40x = 751,700,555.13
  5. Step 5: Solve for x
    x = 751,700,555.13/30,561.40
  6. Step 6: Final answer
    x = 24,596.40

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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.