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Finding the Fourth Proportional to 21,148.65, 31,727.52 and 6,356.34

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Solution

The fourth proportional to 21,148.65, 31,727.52 and 6,356.34 is: 9,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.65 : 31,727.52 = 6,356.34 : x
  2. Step 2: Convert to fraction form
    21,148.65/31,727.52 = 6,356.34/x
  3. Step 3: Cross multiply
    21,148.65x = 31,727.52 × 6,356.34
  4. Step 4: Simplify right side
    21,148.65x = 201,670,904.48
  5. Step 5: Solve for x
    x = 201,670,904.48/21,148.65
  6. Step 6: Final answer
    x = 9,535.88

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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.