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Finding the Fourth Proportional to 30,834.40, 42,548.40 and 17,403.04

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Solution

The fourth proportional to 30,834.40, 42,548.40 and 17,403.04 is: 24,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.40 : 42,548.40 = 17,403.04 : x
  2. Step 2: Convert to fraction form
    30,834.40/42,548.40 = 17,403.04/x
  3. Step 3: Cross multiply
    30,834.40x = 42,548.40 × 17,403.04
  4. Step 4: Simplify right side
    30,834.40x = 740,471,507.14
  5. Step 5: Solve for x
    x = 740,471,507.14/30,834.40
  6. Step 6: Final answer
    x = 24,014.46

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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.