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Finding the Fourth Proportional to 13,583.40, 20,379.53 and 6,564.22

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Solution

The fourth proportional to 13,583.40, 20,379.53 and 6,564.22 is: 9,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.40 : 20,379.53 = 6,564.22 : x
  2. Step 2: Convert to fraction form
    13,583.40/20,379.53 = 6,564.22/x
  3. Step 3: Cross multiply
    13,583.40x = 20,379.53 × 6,564.22
  4. Step 4: Simplify right side
    13,583.40x = 133,775,616.52
  5. Step 5: Solve for x
    x = 133,775,616.52/13,583.40
  6. Step 6: Final answer
    x = 9,848.47

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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.