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Finding the Fourth Proportional to 19,451.68, 29,182.14 and 6,304.06

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Solution

The fourth proportional to 19,451.68, 29,182.14 and 6,304.06 is: 9,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451.68 : 29,182.14 = 6,304.06 : x
  2. Step 2: Convert to fraction form
    19,451.68/29,182.14 = 6,304.06/x
  3. Step 3: Cross multiply
    19,451.68x = 29,182.14 × 6,304.06
  4. Step 4: Simplify right side
    19,451.68x = 183,965,784.06
  5. Step 5: Solve for x
    x = 183,965,784.06/19,451.68
  6. Step 6: Final answer
    x = 9,457.58

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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.