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Finding the Fourth Proportional to 20,154.40, 30,202.02 and 10,145.40

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Solution

The fourth proportional to 20,154.40, 30,202.02 and 10,145.40 is: 15,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.40 : 30,202.02 = 10,145.40 : x
  2. Step 2: Convert to fraction form
    20,154.40/30,202.02 = 10,145.40/x
  3. Step 3: Cross multiply
    20,154.40x = 30,202.02 × 10,145.40
  4. Step 4: Simplify right side
    20,154.40x = 306,411,573.71
  5. Step 5: Solve for x
    x = 306,411,573.71/20,154.40
  6. Step 6: Final answer
    x = 15,203.21

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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.