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Finding the Fourth Proportional to 17,686.42, 24,407.27 and 9,728.44

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Solution

The fourth proportional to 17,686.42, 24,407.27 and 9,728.44 is: 13,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.42 : 24,407.27 = 9,728.44 : x
  2. Step 2: Convert to fraction form
    17,686.42/24,407.27 = 9,728.44/x
  3. Step 3: Cross multiply
    17,686.42x = 24,407.27 × 9,728.44
  4. Step 4: Simplify right side
    17,686.42x = 237,444,661.76
  5. Step 5: Solve for x
    x = 237,444,661.76/17,686.42
  6. Step 6: Final answer
    x = 13,425.25

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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.