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Finding the Fourth Proportional to 12,901.32, 19,352.07 and 3,541.14

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Solution

The fourth proportional to 12,901.32, 19,352.07 and 3,541.14 is: 5,311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.32 : 19,352.07 = 3,541.14 : x
  2. Step 2: Convert to fraction form
    12,901.32/19,352.07 = 3,541.14/x
  3. Step 3: Cross multiply
    12,901.32x = 19,352.07 × 3,541.14
  4. Step 4: Simplify right side
    12,901.32x = 68,528,389.16
  5. Step 5: Solve for x
    x = 68,528,389.16/12,901.32
  6. Step 6: Final answer
    x = 5,311.73

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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.