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Finding the Fourth Proportional to 21,151.68, 31,730.40 and 6,359.04

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Solution

The fourth proportional to 21,151.68, 31,730.40 and 6,359.04 is: 9,539.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,151.68 : 31,730.40 = 6,359.04 : x
  2. Step 2: Convert to fraction form
    21,151.68/31,730.40 = 6,359.04/x
  3. Step 3: Cross multiply
    21,151.68x = 31,730.40 × 6,359.04
  4. Step 4: Simplify right side
    21,151.68x = 201,774,882.82
  5. Step 5: Solve for x
    x = 201,774,882.82/21,151.68
  6. Step 6: Final answer
    x = 9,539.43

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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.