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Finding the Fourth Proportional to 13,688.76, 20,435.91 and 13,202.76

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Solution

The fourth proportional to 13,688.76, 20,435.91 and 13,202.76 is: 19,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.76 : 20,435.91 = 13,202.76 : x
  2. Step 2: Convert to fraction form
    13,688.76/20,435.91 = 13,202.76/x
  3. Step 3: Cross multiply
    13,688.76x = 20,435.91 × 13,202.76
  4. Step 4: Simplify right side
    13,688.76x = 269,810,415.11
  5. Step 5: Solve for x
    x = 269,810,415.11/13,688.76
  6. Step 6: Final answer
    x = 19,710.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.