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Finding the Fourth Proportional to 28,381.80, 42,577.20 and 9,663.60

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Solution

The fourth proportional to 28,381.80, 42,577.20 and 9,663.60 is: 14,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,381.80 : 42,577.20 = 9,663.60 : x
  2. Step 2: Convert to fraction form
    28,381.80/42,577.20 = 9,663.60/x
  3. Step 3: Cross multiply
    28,381.80x = 42,577.20 × 9,663.60
  4. Step 4: Simplify right side
    28,381.80x = 411,449,029.92
  5. Step 5: Solve for x
    x = 411,449,029.92/28,381.80
  6. Step 6: Final answer
    x = 14,496.93

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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.