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Finding the Fourth Proportional to 13,712.52, 20,566.44 and 4,946.16

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Solution

The fourth proportional to 13,712.52, 20,566.44 and 4,946.16 is: 7,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.52 : 20,566.44 = 4,946.16 : x
  2. Step 2: Convert to fraction form
    13,712.52/20,566.44 = 4,946.16/x
  3. Step 3: Cross multiply
    13,712.52x = 20,566.44 × 4,946.16
  4. Step 4: Simplify right side
    13,712.52x = 101,724,902.87
  5. Step 5: Solve for x
    x = 101,724,902.87/13,712.52
  6. Step 6: Final answer
    x = 7,418.40

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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.