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Finding the Fourth Proportional to 17,686.81, 24,406.32 and 9,729.46

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Solution

The fourth proportional to 17,686.81, 24,406.32 and 9,729.46 is: 13,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.81 : 24,406.32 = 9,729.46 : x
  2. Step 2: Convert to fraction form
    17,686.81/24,406.32 = 9,729.46/x
  3. Step 3: Cross multiply
    17,686.81x = 24,406.32 × 9,729.46
  4. Step 4: Simplify right side
    17,686.81x = 237,460,314.19
  5. Step 5: Solve for x
    x = 237,460,314.19/17,686.81
  6. Step 6: Final answer
    x = 13,425.84

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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.