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Finding the Fourth Proportional to 11,102.31, 16,634.57 and 9,700.20

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Solution

The fourth proportional to 11,102.31, 16,634.57 and 9,700.20 is: 14,533.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.31 : 16,634.57 = 9,700.20 : x
  2. Step 2: Convert to fraction form
    11,102.31/16,634.57 = 9,700.20/x
  3. Step 3: Cross multiply
    11,102.31x = 16,634.57 × 9,700.20
  4. Step 4: Simplify right side
    11,102.31x = 161,358,607.41
  5. Step 5: Solve for x
    x = 161,358,607.41/11,102.31
  6. Step 6: Final answer
    x = 14,533.79

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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.