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Finding the Fourth Proportional to 23,499, 35,248.14 and 9,462.60

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Solution

The fourth proportional to 23,499, 35,248.14 and 9,462.60 is: 14,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,499 : 35,248.14 = 9,462.60 : x
  2. Step 2: Convert to fraction form
    23,499/35,248.14 = 9,462.60/x
  3. Step 3: Cross multiply
    23,499x = 35,248.14 × 9,462.60
  4. Step 4: Simplify right side
    23,499x = 333,539,049.56
  5. Step 5: Solve for x
    x = 333,539,049.56/23,499
  6. Step 6: Final answer
    x = 14,193.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.