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Finding the Fourth Proportional to 19,679.68, 29,461.02 and 19,653.76

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Solution

The fourth proportional to 19,679.68, 29,461.02 and 19,653.76 is: 29,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,679.68 : 29,461.02 = 19,653.76 : x
  2. Step 2: Convert to fraction form
    19,679.68/29,461.02 = 19,653.76/x
  3. Step 3: Cross multiply
    19,679.68x = 29,461.02 × 19,653.76
  4. Step 4: Simplify right side
    19,679.68x = 579,019,816.44
  5. Step 5: Solve for x
    x = 579,019,816.44/19,679.68
  6. Step 6: Final answer
    x = 29,422.22

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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.