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Finding the Fourth Proportional to 19,633.68, 29,455.38 and 9,243

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Solution

The fourth proportional to 19,633.68, 29,455.38 and 9,243 is: 13,866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.68 : 29,455.38 = 9,243 : x
  2. Step 2: Convert to fraction form
    19,633.68/29,455.38 = 9,243/x
  3. Step 3: Cross multiply
    19,633.68x = 29,455.38 × 9,243
  4. Step 4: Simplify right side
    19,633.68x = 272,256,077.34
  5. Step 5: Solve for x
    x = 272,256,077.34/19,633.68
  6. Step 6: Final answer
    x = 13,866.79

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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.