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Finding the Fourth Proportional to 15,165.61, 22,733.02 and 5,803.23

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Solution

The fourth proportional to 15,165.61, 22,733.02 and 5,803.23 is: 8,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.61 : 22,733.02 = 5,803.23 : x
  2. Step 2: Convert to fraction form
    15,165.61/22,733.02 = 5,803.23/x
  3. Step 3: Cross multiply
    15,165.61x = 22,733.02 × 5,803.23
  4. Step 4: Simplify right side
    15,165.61x = 131,924,943.65
  5. Step 5: Solve for x
    x = 131,924,943.65/15,165.61
  6. Step 6: Final answer
    x = 8,698.95

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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.