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Finding the Fourth Proportional to 15,384.97, 23,079.88 and 5,392.47

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Solution

The fourth proportional to 15,384.97, 23,079.88 and 5,392.47 is: 8,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.97 : 23,079.88 = 5,392.47 : x
  2. Step 2: Convert to fraction form
    15,384.97/23,079.88 = 5,392.47/x
  3. Step 3: Cross multiply
    15,384.97x = 23,079.88 × 5,392.47
  4. Step 4: Simplify right side
    15,384.97x = 124,457,560.50
  5. Step 5: Solve for x
    x = 124,457,560.50/15,384.97
  6. Step 6: Final answer
    x = 8,089.56

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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.