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Finding the Fourth Proportional to 12,289.20, 18,428.16 and 3,522

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Solution

The fourth proportional to 12,289.20, 18,428.16 and 3,522 is: 5,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.20 : 18,428.16 = 3,522 : x
  2. Step 2: Convert to fraction form
    12,289.20/18,428.16 = 3,522/x
  3. Step 3: Cross multiply
    12,289.20x = 18,428.16 × 3,522
  4. Step 4: Simplify right side
    12,289.20x = 64,903,979.52
  5. Step 5: Solve for x
    x = 64,903,979.52/12,289.20
  6. Step 6: Final answer
    x = 5,281.38

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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.