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Finding the Fourth Proportional to 13,686.29, 18,887.09 and 7,398.66

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Solution

The fourth proportional to 13,686.29, 18,887.09 and 7,398.66 is: 10,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.29 : 18,887.09 = 7,398.66 : x
  2. Step 2: Convert to fraction form
    13,686.29/18,887.09 = 7,398.66/x
  3. Step 3: Cross multiply
    13,686.29x = 18,887.09 × 7,398.66
  4. Step 4: Simplify right side
    13,686.29x = 139,739,120.31
  5. Step 5: Solve for x
    x = 139,739,120.31/13,686.29
  6. Step 6: Final answer
    x = 10,210.16

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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.