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Finding the Fourth Proportional to 17,686.36, 24,407.32 and 9,728.64

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Solution

The fourth proportional to 17,686.36, 24,407.32 and 9,728.64 is: 13,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.36 : 24,407.32 = 9,728.64 : x
  2. Step 2: Convert to fraction form
    17,686.36/24,407.32 = 9,728.64/x
  3. Step 3: Cross multiply
    17,686.36x = 24,407.32 × 9,728.64
  4. Step 4: Simplify right side
    17,686.36x = 237,450,029.64
  5. Step 5: Solve for x
    x = 237,450,029.64/17,686.36
  6. Step 6: Final answer
    x = 13,425.60

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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.