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Finding the Fourth Proportional to 20,963.64, 31,425.66 and 7,807.08

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Solution

The fourth proportional to 20,963.64, 31,425.66 and 7,807.08 is: 11,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,963.64 : 31,425.66 = 7,807.08 : x
  2. Step 2: Convert to fraction form
    20,963.64/31,425.66 = 7,807.08/x
  3. Step 3: Cross multiply
    20,963.64x = 31,425.66 × 7,807.08
  4. Step 4: Simplify right side
    20,963.64x = 245,342,641.67
  5. Step 5: Solve for x
    x = 245,342,641.67/20,963.64
  6. Step 6: Final answer
    x = 11,703.25

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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.