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Finding the Fourth Proportional to 19,862.96, 29,730.51 and 10,489.58

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Solution

The fourth proportional to 19,862.96, 29,730.51 and 10,489.58 is: 15,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.96 : 29,730.51 = 10,489.58 : x
  2. Step 2: Convert to fraction form
    19,862.96/29,730.51 = 10,489.58/x
  3. Step 3: Cross multiply
    19,862.96x = 29,730.51 × 10,489.58
  4. Step 4: Simplify right side
    19,862.96x = 311,860,563.09
  5. Step 5: Solve for x
    x = 311,860,563.09/19,862.96
  6. Step 6: Final answer
    x = 15,700.61

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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.