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Finding the Fourth Proportional to 13,564.08, 20,282.64 and 9,656.64

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Solution

The fourth proportional to 13,564.08, 20,282.64 and 9,656.64 is: 14,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.08 : 20,282.64 = 9,656.64 : x
  2. Step 2: Convert to fraction form
    13,564.08/20,282.64 = 9,656.64/x
  3. Step 3: Cross multiply
    13,564.08x = 20,282.64 × 9,656.64
  4. Step 4: Simplify right side
    13,564.08x = 195,862,152.73
  5. Step 5: Solve for x
    x = 195,862,152.73/13,564.08
  6. Step 6: Final answer
    x = 14,439.77

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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.