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Finding the Fourth Proportional to 18,582, 25,643.16 and 10,199.04

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Solution

The fourth proportional to 18,582, 25,643.16 and 10,199.04 is: 14,074.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,582 : 25,643.16 = 10,199.04 : x
  2. Step 2: Convert to fraction form
    18,582/25,643.16 = 10,199.04/x
  3. Step 3: Cross multiply
    18,582x = 25,643.16 × 10,199.04
  4. Step 4: Simplify right side
    18,582x = 261,535,614.57
  5. Step 5: Solve for x
    x = 261,535,614.57/18,582
  6. Step 6: Final answer
    x = 14,074.68

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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.