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Finding the Fourth Proportional to 13,965.60, 20,948.71 and 5,644.07

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Solution

The fourth proportional to 13,965.60, 20,948.71 and 5,644.07 is: 8,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.60 : 20,948.71 = 5,644.07 : x
  2. Step 2: Convert to fraction form
    13,965.60/20,948.71 = 5,644.07/x
  3. Step 3: Cross multiply
    13,965.60x = 20,948.71 × 5,644.07
  4. Step 4: Simplify right side
    13,965.60x = 118,235,985.65
  5. Step 5: Solve for x
    x = 118,235,985.65/13,965.60
  6. Step 6: Final answer
    x = 8,466.23

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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.