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Finding the Fourth Proportional to 13,349.76, 20,025.12 and 5,954.40

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Solution

The fourth proportional to 13,349.76, 20,025.12 and 5,954.40 is: 8,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.76 : 20,025.12 = 5,954.40 : x
  2. Step 2: Convert to fraction form
    13,349.76/20,025.12 = 5,954.40/x
  3. Step 3: Cross multiply
    13,349.76x = 20,025.12 × 5,954.40
  4. Step 4: Simplify right side
    13,349.76x = 119,237,574.53
  5. Step 5: Solve for x
    x = 119,237,574.53/13,349.76
  6. Step 6: Final answer
    x = 8,931.81

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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.