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Finding the Fourth Proportional to 20,952.82, 31,429.64 and 7,802.57

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Solution

The fourth proportional to 20,952.82, 31,429.64 and 7,802.57 is: 11,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,952.82 : 31,429.64 = 7,802.57 : x
  2. Step 2: Convert to fraction form
    20,952.82/31,429.64 = 7,802.57/x
  3. Step 3: Cross multiply
    20,952.82x = 31,429.64 × 7,802.57
  4. Step 4: Simplify right side
    20,952.82x = 245,232,005.74
  5. Step 5: Solve for x
    x = 245,232,005.74/20,952.82
  6. Step 6: Final answer
    x = 11,704.01

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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.