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Finding the Fourth Proportional to 20,303.84, 30,419.58 and 12,402.20

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Solution

The fourth proportional to 20,303.84, 30,419.58 and 12,402.20 is: 18,581.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303.84 : 30,419.58 = 12,402.20 : x
  2. Step 2: Convert to fraction form
    20,303.84/30,419.58 = 12,402.20/x
  3. Step 3: Cross multiply
    20,303.84x = 30,419.58 × 12,402.20
  4. Step 4: Simplify right side
    20,303.84x = 377,269,715.08
  5. Step 5: Solve for x
    x = 377,269,715.08/20,303.84
  6. Step 6: Final answer
    x = 18,581.20

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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.