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Finding the Fourth Proportional to 23,464.58, 32,381.14 and 12,854.60

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Solution

The fourth proportional to 23,464.58, 32,381.14 and 12,854.60 is: 17,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.58 : 32,381.14 = 12,854.60 : x
  2. Step 2: Convert to fraction form
    23,464.58/32,381.14 = 12,854.60/x
  3. Step 3: Cross multiply
    23,464.58x = 32,381.14 × 12,854.60
  4. Step 4: Simplify right side
    23,464.58x = 416,246,602.24
  5. Step 5: Solve for x
    x = 416,246,602.24/23,464.58
  6. Step 6: Final answer
    x = 17,739.36

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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.