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Finding the Fourth Proportional to 23,497.68, 32,427.44 and 13,427.76

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Solution

The fourth proportional to 23,497.68, 32,427.44 and 13,427.76 is: 18,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.68 : 32,427.44 = 13,427.76 : x
  2. Step 2: Convert to fraction form
    23,497.68/32,427.44 = 13,427.76/x
  3. Step 3: Cross multiply
    23,497.68x = 32,427.44 × 13,427.76
  4. Step 4: Simplify right side
    23,497.68x = 435,427,881.73
  5. Step 5: Solve for x
    x = 435,427,881.73/23,497.68
  6. Step 6: Final answer
    x = 18,530.68

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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.