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Finding the Fourth Proportional to 13,035.72, 19,564.08 and 6,797.64

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Solution

The fourth proportional to 13,035.72, 19,564.08 and 6,797.64 is: 10,201.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.72 : 19,564.08 = 6,797.64 : x
  2. Step 2: Convert to fraction form
    13,035.72/19,564.08 = 6,797.64/x
  3. Step 3: Cross multiply
    13,035.72x = 19,564.08 × 6,797.64
  4. Step 4: Simplify right side
    13,035.72x = 132,989,572.77
  5. Step 5: Solve for x
    x = 132,989,572.77/13,035.72
  6. Step 6: Final answer
    x = 10,201.94

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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.