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Finding the Fourth Proportional to 17,764.94, 24,515.24 and 9,807.09

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Solution

The fourth proportional to 17,764.94, 24,515.24 and 9,807.09 is: 13,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.94 : 24,515.24 = 9,807.09 : x
  2. Step 2: Convert to fraction form
    17,764.94/24,515.24 = 9,807.09/x
  3. Step 3: Cross multiply
    17,764.94x = 24,515.24 × 9,807.09
  4. Step 4: Simplify right side
    17,764.94x = 240,423,116.02
  5. Step 5: Solve for x
    x = 240,423,116.02/17,764.94
  6. Step 6: Final answer
    x = 13,533.58

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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.