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Finding the Fourth Proportional to 17,827.40, 24,601.64 and 9,869.96

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Solution

The fourth proportional to 17,827.40, 24,601.64 and 9,869.96 is: 13,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.40 : 24,601.64 = 9,869.96 : x
  2. Step 2: Convert to fraction form
    17,827.40/24,601.64 = 9,869.96/x
  3. Step 3: Cross multiply
    17,827.40x = 24,601.64 × 9,869.96
  4. Step 4: Simplify right side
    17,827.40x = 242,817,202.73
  5. Step 5: Solve for x
    x = 242,817,202.73/17,827.40
  6. Step 6: Final answer
    x = 13,620.45

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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.