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Finding the Fourth Proportional to 18,697.14, 25,802.09 and 10,199.27

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Solution

The fourth proportional to 18,697.14, 25,802.09 and 10,199.27 is: 14,075.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.14 : 25,802.09 = 10,199.27 : x
  2. Step 2: Convert to fraction form
    18,697.14/25,802.09 = 10,199.27/x
  3. Step 3: Cross multiply
    18,697.14x = 25,802.09 × 10,199.27
  4. Step 4: Simplify right side
    18,697.14x = 263,162,534.23
  5. Step 5: Solve for x
    x = 263,162,534.23/18,697.14
  6. Step 6: Final answer
    x = 14,075.02

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1.5x scale

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.