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Finding the Fourth Proportional to 17,429.94, 24,054.24 and 9,877.74

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Solution

The fourth proportional to 17,429.94, 24,054.24 and 9,877.74 is: 13,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429.94 : 24,054.24 = 9,877.74 : x
  2. Step 2: Convert to fraction form
    17,429.94/24,054.24 = 9,877.74/x
  3. Step 3: Cross multiply
    17,429.94x = 24,054.24 × 9,877.74
  4. Step 4: Simplify right side
    17,429.94x = 237,601,528.62
  5. Step 5: Solve for x
    x = 237,601,528.62/17,429.94
  6. Step 6: Final answer
    x = 13,631.80

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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.