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Finding the Fourth Proportional to 22,903.92, 34,355.48 and 9,765.32

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Solution

The fourth proportional to 22,903.92, 34,355.48 and 9,765.32 is: 14,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.92 : 34,355.48 = 9,765.32 : x
  2. Step 2: Convert to fraction form
    22,903.92/34,355.48 = 9,765.32/x
  3. Step 3: Cross multiply
    22,903.92x = 34,355.48 × 9,765.32
  4. Step 4: Simplify right side
    22,903.92x = 335,492,035.35
  5. Step 5: Solve for x
    x = 335,492,035.35/22,903.92
  6. Step 6: Final answer
    x = 14,647.80

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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.