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Finding the Fourth Proportional to 15,589.94, 23,382 and 4,192.02

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Solution

The fourth proportional to 15,589.94, 23,382 and 4,192.02 is: 6,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589.94 : 23,382 = 4,192.02 : x
  2. Step 2: Convert to fraction form
    15,589.94/23,382 = 4,192.02/x
  3. Step 3: Cross multiply
    15,589.94x = 23,382 × 4,192.02
  4. Step 4: Simplify right side
    15,589.94x = 98,017,811.64
  5. Step 5: Solve for x
    x = 98,017,811.64/15,589.94
  6. Step 6: Final answer
    x = 6,287.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.