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Finding the Fourth Proportional to 16,290.50, 24,397.47 and 7,944.35

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Solution

The fourth proportional to 16,290.50, 24,397.47 and 7,944.35 is: 11,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.50 : 24,397.47 = 7,944.35 : x
  2. Step 2: Convert to fraction form
    16,290.50/24,397.47 = 7,944.35/x
  3. Step 3: Cross multiply
    16,290.50x = 24,397.47 × 7,944.35
  4. Step 4: Simplify right side
    16,290.50x = 193,821,918.81
  5. Step 5: Solve for x
    x = 193,821,918.81/16,290.50
  6. Step 6: Final answer
    x = 11,897.85

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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.