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Finding the Fourth Proportional to 13,688.47, 18,890.06 and 7,400.84

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Solution

The fourth proportional to 13,688.47, 18,890.06 and 7,400.84 is: 10,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.47 : 18,890.06 = 7,400.84 : x
  2. Step 2: Convert to fraction form
    13,688.47/18,890.06 = 7,400.84/x
  3. Step 3: Cross multiply
    13,688.47x = 18,890.06 × 7,400.84
  4. Step 4: Simplify right side
    13,688.47x = 139,802,321.87
  5. Step 5: Solve for x
    x = 139,802,321.87/13,688.47
  6. Step 6: Final answer
    x = 10,213.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.