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Finding the Fourth Proportional to 23,253.74, 32,090.06 and 12,643.40

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Solution

The fourth proportional to 23,253.74, 32,090.06 and 12,643.40 is: 17,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253.74 : 32,090.06 = 12,643.40 : x
  2. Step 2: Convert to fraction form
    23,253.74/32,090.06 = 12,643.40/x
  3. Step 3: Cross multiply
    23,253.74x = 32,090.06 × 12,643.40
  4. Step 4: Simplify right side
    23,253.74x = 405,727,464.60
  5. Step 5: Solve for x
    x = 405,727,464.60/23,253.74
  6. Step 6: Final answer
    x = 17,447.84

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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.