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Finding the Fourth Proportional to 13,686.86, 18,887.92 and 7,399.24

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Solution

The fourth proportional to 13,686.86, 18,887.92 and 7,399.24 is: 10,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.86 : 18,887.92 = 7,399.24 : x
  2. Step 2: Convert to fraction form
    13,686.86/18,887.92 = 7,399.24/x
  3. Step 3: Cross multiply
    13,686.86x = 18,887.92 × 7,399.24
  4. Step 4: Simplify right side
    13,686.86x = 139,756,253.18
  5. Step 5: Solve for x
    x = 139,756,253.18/13,686.86
  6. Step 6: Final answer
    x = 10,210.98

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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.