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Finding the Fourth Proportional to 13,688.80, 20,533.14 and 5,362.93

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Solution

The fourth proportional to 13,688.80, 20,533.14 and 5,362.93 is: 8,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.80 : 20,533.14 = 5,362.93 : x
  2. Step 2: Convert to fraction form
    13,688.80/20,533.14 = 5,362.93/x
  3. Step 3: Cross multiply
    13,688.80x = 20,533.14 × 5,362.93
  4. Step 4: Simplify right side
    13,688.80x = 110,117,872.15
  5. Step 5: Solve for x
    x = 110,117,872.15/13,688.80
  6. Step 6: Final answer
    x = 8,044.38

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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.