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Finding the Fourth Proportional to 19,883.72, 29,830.46 and 9,893.18

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Solution

The fourth proportional to 19,883.72, 29,830.46 and 9,893.18 is: 14,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,883.72 : 29,830.46 = 9,893.18 : x
  2. Step 2: Convert to fraction form
    19,883.72/29,830.46 = 9,893.18/x
  3. Step 3: Cross multiply
    19,883.72x = 29,830.46 × 9,893.18
  4. Step 4: Simplify right side
    19,883.72x = 295,118,110.26
  5. Step 5: Solve for x
    x = 295,118,110.26/19,883.72
  6. Step 6: Final answer
    x = 14,842.20

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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.