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Finding the Fourth Proportional to 23,663.40, 35,499.35 and 8,077.38

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Solution

The fourth proportional to 23,663.40, 35,499.35 and 8,077.38 is: 12,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.40 : 35,499.35 = 8,077.38 : x
  2. Step 2: Convert to fraction form
    23,663.40/35,499.35 = 8,077.38/x
  3. Step 3: Cross multiply
    23,663.40x = 35,499.35 × 8,077.38
  4. Step 4: Simplify right side
    23,663.40x = 286,741,739.70
  5. Step 5: Solve for x
    x = 286,741,739.70/23,663.40
  6. Step 6: Final answer
    x = 12,117.52

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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.