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Finding the Fourth Proportional to 23,530.46, 32,472.14 and 13,459.01

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Solution

The fourth proportional to 23,530.46, 32,472.14 and 13,459.01 is: 18,573.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.46 : 32,472.14 = 13,459.01 : x
  2. Step 2: Convert to fraction form
    23,530.46/32,472.14 = 13,459.01/x
  3. Step 3: Cross multiply
    23,530.46x = 32,472.14 × 13,459.01
  4. Step 4: Simplify right side
    23,530.46x = 437,042,627.33
  5. Step 5: Solve for x
    x = 437,042,627.33/23,530.46
  6. Step 6: Final answer
    x = 18,573.49

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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.