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Finding the Fourth Proportional to 13,688.16, 18,889.64 and 7,400.55

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Solution

The fourth proportional to 13,688.16, 18,889.64 and 7,400.55 is: 10,212.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.16 : 18,889.64 = 7,400.55 : x
  2. Step 2: Convert to fraction form
    13,688.16/18,889.64 = 7,400.55/x
  3. Step 3: Cross multiply
    13,688.16x = 18,889.64 × 7,400.55
  4. Step 4: Simplify right side
    13,688.16x = 139,793,688.30
  5. Step 5: Solve for x
    x = 139,793,688.30/13,688.16
  6. Step 6: Final answer
    x = 10,212.75

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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.