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Finding the Fourth Proportional to 23,363.02, 35,037.24 and 7,777

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Solution

The fourth proportional to 23,363.02, 35,037.24 and 7,777 is: 11,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,363.02 : 35,037.24 = 7,777 : x
  2. Step 2: Convert to fraction form
    23,363.02/35,037.24 = 7,777/x
  3. Step 3: Cross multiply
    23,363.02x = 35,037.24 × 7,777
  4. Step 4: Simplify right side
    23,363.02x = 272,484,615.48
  5. Step 5: Solve for x
    x = 272,484,615.48/23,363.02
  6. Step 6: Final answer
    x = 11,663.07

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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.