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Finding the Fourth Proportional to 17,686.42, 24,417.36 and 11,726.17

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Solution

The fourth proportional to 17,686.42, 24,417.36 and 11,726.17 is: 16,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.42 : 24,417.36 = 11,726.17 : x
  2. Step 2: Convert to fraction form
    17,686.42/24,417.36 = 11,726.17/x
  3. Step 3: Cross multiply
    17,686.42x = 24,417.36 × 11,726.17
  4. Step 4: Simplify right side
    17,686.42x = 286,322,114.31
  5. Step 5: Solve for x
    x = 286,322,114.31/17,686.42
  6. Step 6: Final answer
    x = 16,188.81

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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.