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Finding the Fourth Proportional to 19,985.82, 29,971.17 and 6,835.74

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Solution

The fourth proportional to 19,985.82, 29,971.17 and 6,835.74 is: 10,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985.82 : 29,971.17 = 6,835.74 : x
  2. Step 2: Convert to fraction form
    19,985.82/29,971.17 = 6,835.74/x
  3. Step 3: Cross multiply
    19,985.82x = 29,971.17 × 6,835.74
  4. Step 4: Simplify right side
    19,985.82x = 204,875,125.62
  5. Step 5: Solve for x
    x = 204,875,125.62/19,985.82
  6. Step 6: Final answer
    x = 10,251.02

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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.