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Finding the Fourth Proportional to 29,568, 40,803.84 and 16,320

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Solution

The fourth proportional to 29,568, 40,803.84 and 16,320 is: 22,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,568 : 40,803.84 = 16,320 : x
  2. Step 2: Convert to fraction form
    29,568/40,803.84 = 16,320/x
  3. Step 3: Cross multiply
    29,568x = 40,803.84 × 16,320
  4. Step 4: Simplify right side
    29,568x = 665,918,668.80
  5. Step 5: Solve for x
    x = 665,918,668.80/29,568
  6. Step 6: Final answer
    x = 22,521.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.