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Finding the Fourth Proportional to 19,682.52, 27,161.68 and 10,730

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Solution

The fourth proportional to 19,682.52, 27,161.68 and 10,730 is: 14,807.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.52 : 27,161.68 = 10,730 : x
  2. Step 2: Convert to fraction form
    19,682.52/27,161.68 = 10,730/x
  3. Step 3: Cross multiply
    19,682.52x = 27,161.68 × 10,730
  4. Step 4: Simplify right side
    19,682.52x = 291,444,826.40
  5. Step 5: Solve for x
    x = 291,444,826.40/19,682.52
  6. Step 6: Final answer
    x = 14,807.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.