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Finding the Fourth Proportional to 19,848.58, 29,773.50 and 9,982.47

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Solution

The fourth proportional to 19,848.58, 29,773.50 and 9,982.47 is: 14,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848.58 : 29,773.50 = 9,982.47 : x
  2. Step 2: Convert to fraction form
    19,848.58/29,773.50 = 9,982.47/x
  3. Step 3: Cross multiply
    19,848.58x = 29,773.50 × 9,982.47
  4. Step 4: Simplify right side
    19,848.58x = 297,213,070.55
  5. Step 5: Solve for x
    x = 297,213,070.55/19,848.58
  6. Step 6: Final answer
    x = 14,974.02

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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.