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Finding the Fourth Proportional to 23,297.64, 32,149.62 and 12,686.64

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Solution

The fourth proportional to 23,297.64, 32,149.62 and 12,686.64 is: 17,506.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,297.64 : 32,149.62 = 12,686.64 : x
  2. Step 2: Convert to fraction form
    23,297.64/32,149.62 = 12,686.64/x
  3. Step 3: Cross multiply
    23,297.64x = 32,149.62 × 12,686.64
  4. Step 4: Simplify right side
    23,297.64x = 407,870,655.08
  5. Step 5: Solve for x
    x = 407,870,655.08/23,297.64
  6. Step 6: Final answer
    x = 17,506.95

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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.