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Finding the Fourth Proportional to 23,449.47, 32,360.64 and 12,840.09

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Solution

The fourth proportional to 23,449.47, 32,360.64 and 12,840.09 is: 17,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.47 : 32,360.64 = 12,840.09 : x
  2. Step 2: Convert to fraction form
    23,449.47/32,360.64 = 12,840.09/x
  3. Step 3: Cross multiply
    23,449.47x = 32,360.64 × 12,840.09
  4. Step 4: Simplify right side
    23,449.47x = 415,513,530.06
  5. Step 5: Solve for x
    x = 415,513,530.06/23,449.47
  6. Step 6: Final answer
    x = 17,719.53

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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.