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Finding the Fourth Proportional to 19,538.45, 29,308.99 and 9,675.08

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Solution

The fourth proportional to 19,538.45, 29,308.99 and 9,675.08 is: 14,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.45 : 29,308.99 = 9,675.08 : x
  2. Step 2: Convert to fraction form
    19,538.45/29,308.99 = 9,675.08/x
  3. Step 3: Cross multiply
    19,538.45x = 29,308.99 × 9,675.08
  4. Step 4: Simplify right side
    19,538.45x = 283,566,822.97
  5. Step 5: Solve for x
    x = 283,566,822.97/19,538.45
  6. Step 6: Final answer
    x = 14,513.27

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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.