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Finding the Fourth Proportional to 18,568, 25,623.84 and 10,184.52

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Solution

The fourth proportional to 18,568, 25,623.84 and 10,184.52 is: 14,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,568 : 25,623.84 = 10,184.52 : x
  2. Step 2: Convert to fraction form
    18,568/25,623.84 = 10,184.52/x
  3. Step 3: Cross multiply
    18,568x = 25,623.84 × 10,184.52
  4. Step 4: Simplify right side
    18,568x = 260,966,510.96
  5. Step 5: Solve for x
    x = 260,966,510.96/18,568
  6. Step 6: Final answer
    x = 14,054.64

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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.