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Finding the Fourth Proportional to 15,773.30, 23,610.72 and 11,618

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Solution

The fourth proportional to 15,773.30, 23,610.72 and 11,618 is: 17,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.30 : 23,610.72 = 11,618 : x
  2. Step 2: Convert to fraction form
    15,773.30/23,610.72 = 11,618/x
  3. Step 3: Cross multiply
    15,773.30x = 23,610.72 × 11,618
  4. Step 4: Simplify right side
    15,773.30x = 274,309,344.96
  5. Step 5: Solve for x
    x = 274,309,344.96/15,773.30
  6. Step 6: Final answer
    x = 17,390.74

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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.