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Finding the Fourth Proportional to 28,223.84, 42,355.20 and 9,755.84

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Solution

The fourth proportional to 28,223.84, 42,355.20 and 9,755.84 is: 14,640.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,223.84 : 42,355.20 = 9,755.84 : x
  2. Step 2: Convert to fraction form
    28,223.84/42,355.20 = 9,755.84/x
  3. Step 3: Cross multiply
    28,223.84x = 42,355.20 × 9,755.84
  4. Step 4: Simplify right side
    28,223.84x = 413,210,293.81
  5. Step 5: Solve for x
    x = 413,210,293.81/28,223.84
  6. Step 6: Final answer
    x = 14,640.47

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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.