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Finding the Fourth Proportional to 12,171.02, 18,243.14 and 4,774.10

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Solution

The fourth proportional to 12,171.02, 18,243.14 and 4,774.10 is: 7,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.02 : 18,243.14 = 4,774.10 : x
  2. Step 2: Convert to fraction form
    12,171.02/18,243.14 = 4,774.10/x
  3. Step 3: Cross multiply
    12,171.02x = 18,243.14 × 4,774.10
  4. Step 4: Simplify right side
    12,171.02x = 87,094,574.67
  5. Step 5: Solve for x
    x = 87,094,574.67/12,171.02
  6. Step 6: Final answer
    x = 7,155.90

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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.