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Finding the Fourth Proportional to 13,612.72, 20,419.28 and 4,847.40

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Solution

The fourth proportional to 13,612.72, 20,419.28 and 4,847.40 is: 7,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,612.72 : 20,419.28 = 4,847.40 : x
  2. Step 2: Convert to fraction form
    13,612.72/20,419.28 = 4,847.40/x
  3. Step 3: Cross multiply
    13,612.72x = 20,419.28 × 4,847.40
  4. Step 4: Simplify right side
    13,612.72x = 98,980,417.87
  5. Step 5: Solve for x
    x = 98,980,417.87/13,612.72
  6. Step 6: Final answer
    x = 7,271.17

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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.