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Finding the Fourth Proportional to 28,381.96, 42,572.94 and 9,662.16

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Solution

The fourth proportional to 28,381.96, 42,572.94 and 9,662.16 is: 14,493.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,381.96 : 42,572.94 = 9,662.16 : x
  2. Step 2: Convert to fraction form
    28,381.96/42,572.94 = 9,662.16/x
  3. Step 3: Cross multiply
    28,381.96x = 42,572.94 × 9,662.16
  4. Step 4: Simplify right side
    28,381.96x = 411,346,557.95
  5. Step 5: Solve for x
    x = 411,346,557.95/28,381.96
  6. Step 6: Final answer
    x = 14,493.24

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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.