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Finding the Fourth Proportional to 13,688.54, 20,538.38 and 4,924.13

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Solution

The fourth proportional to 13,688.54, 20,538.38 and 4,924.13 is: 7,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.54 : 20,538.38 = 4,924.13 : x
  2. Step 2: Convert to fraction form
    13,688.54/20,538.38 = 4,924.13/x
  3. Step 3: Cross multiply
    13,688.54x = 20,538.38 × 4,924.13
  4. Step 4: Simplify right side
    13,688.54x = 101,133,653.11
  5. Step 5: Solve for x
    x = 101,133,653.11/13,688.54
  6. Step 6: Final answer
    x = 7,388.20

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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.