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Finding the Fourth Proportional to 30,612.65, 42,240.12 and 17,184.47

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Solution

The fourth proportional to 30,612.65, 42,240.12 and 17,184.47 is: 23,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.65 : 42,240.12 = 17,184.47 : x
  2. Step 2: Convert to fraction form
    30,612.65/42,240.12 = 17,184.47/x
  3. Step 3: Cross multiply
    30,612.65x = 42,240.12 × 17,184.47
  4. Step 4: Simplify right side
    30,612.65x = 725,874,074.94
  5. Step 5: Solve for x
    x = 725,874,074.94/30,612.65
  6. Step 6: Final answer
    x = 23,711.57

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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.