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Finding the Fourth Proportional to 13,959.62, 20,946.31 and 6,564.74

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Solution

The fourth proportional to 13,959.62, 20,946.31 and 6,564.74 is: 9,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959.62 : 20,946.31 = 6,564.74 : x
  2. Step 2: Convert to fraction form
    13,959.62/20,946.31 = 6,564.74/x
  3. Step 3: Cross multiply
    13,959.62x = 20,946.31 × 6,564.74
  4. Step 4: Simplify right side
    13,959.62x = 137,507,079.11
  5. Step 5: Solve for x
    x = 137,507,079.11/13,959.62
  6. Step 6: Final answer
    x = 9,850.35

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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.