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Finding the Fourth Proportional to 18,697.86, 25,802.70 and 10,199.70

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Solution

The fourth proportional to 18,697.86, 25,802.70 and 10,199.70 is: 14,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,697.86 : 25,802.70 = 10,199.70 : x
  2. Step 2: Convert to fraction form
    18,697.86/25,802.70 = 10,199.70/x
  3. Step 3: Cross multiply
    18,697.86x = 25,802.70 × 10,199.70
  4. Step 4: Simplify right side
    18,697.86x = 263,179,799.19
  5. Step 5: Solve for x
    x = 263,179,799.19/18,697.86
  6. Step 6: Final answer
    x = 14,075.40

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