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Finding the Fourth Proportional to 17,545.77, 24,214.60 and 9,994.46

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Solution

The fourth proportional to 17,545.77, 24,214.60 and 9,994.46 is: 13,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,545.77 : 24,214.60 = 9,994.46 : x
  2. Step 2: Convert to fraction form
    17,545.77/24,214.60 = 9,994.46/x
  3. Step 3: Cross multiply
    17,545.77x = 24,214.60 × 9,994.46
  4. Step 4: Simplify right side
    17,545.77x = 242,011,801.14
  5. Step 5: Solve for x
    x = 242,011,801.14/17,545.77
  6. Step 6: Final answer
    x = 13,793.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.