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Finding the Fourth Proportional to 19,659.90, 29,497.14 and 9,135.06

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Solution

The fourth proportional to 19,659.90, 29,497.14 and 9,135.06 is: 13,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.90 : 29,497.14 = 9,135.06 : x
  2. Step 2: Convert to fraction form
    19,659.90/29,497.14 = 9,135.06/x
  3. Step 3: Cross multiply
    19,659.90x = 29,497.14 × 9,135.06
  4. Step 4: Simplify right side
    19,659.90x = 269,458,143.73
  5. Step 5: Solve for x
    x = 269,458,143.73/19,659.90
  6. Step 6: Final answer
    x = 13,705.98

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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.