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Finding the Fourth Proportional to 22,688.37, 34,037.42 and 9,533.16

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Solution

The fourth proportional to 22,688.37, 34,037.42 and 9,533.16 is: 14,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,688.37 : 34,037.42 = 9,533.16 : x
  2. Step 2: Convert to fraction form
    22,688.37/34,037.42 = 9,533.16/x
  3. Step 3: Cross multiply
    22,688.37x = 34,037.42 × 9,533.16
  4. Step 4: Simplify right side
    22,688.37x = 324,484,123.18
  5. Step 5: Solve for x
    x = 324,484,123.18/22,688.37
  6. Step 6: Final answer
    x = 14,301.78

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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.