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Finding the Fourth Proportional to 30,574.40, 42,192.16 and 17,834.99

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Solution

The fourth proportional to 30,574.40, 42,192.16 and 17,834.99 is: 24,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,574.40 : 42,192.16 = 17,834.99 : x
  2. Step 2: Convert to fraction form
    30,574.40/42,192.16 = 17,834.99/x
  3. Step 3: Cross multiply
    30,574.40x = 42,192.16 × 17,834.99
  4. Step 4: Simplify right side
    30,574.40x = 752,496,496.13
  5. Step 5: Solve for x
    x = 752,496,496.13/30,574.40
  6. Step 6: Final answer
    x = 24,611.98

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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.