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Finding the Fourth Proportional to 13,138.04, 19,713.26 and 6,564.76

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Solution

The fourth proportional to 13,138.04, 19,713.26 and 6,564.76 is: 9,850.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.04 : 19,713.26 = 6,564.76 : x
  2. Step 2: Convert to fraction form
    13,138.04/19,713.26 = 6,564.76/x
  3. Step 3: Cross multiply
    13,138.04x = 19,713.26 × 6,564.76
  4. Step 4: Simplify right side
    13,138.04x = 129,412,820.72
  5. Step 5: Solve for x
    x = 129,412,820.72/13,138.04
  6. Step 6: Final answer
    x = 9,850.24

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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.