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Finding the Fourth Proportional to 20,184.84, 30,249.62 and 10,303.40

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Solution

The fourth proportional to 20,184.84, 30,249.62 and 10,303.40 is: 15,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.84 : 30,249.62 = 10,303.40 : x
  2. Step 2: Convert to fraction form
    20,184.84/30,249.62 = 10,303.40/x
  3. Step 3: Cross multiply
    20,184.84x = 30,249.62 × 10,303.40
  4. Step 4: Simplify right side
    20,184.84x = 311,673,934.71
  5. Step 5: Solve for x
    x = 311,673,934.71/20,184.84
  6. Step 6: Final answer
    x = 15,440.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.