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Finding the Fourth Proportional to 19,686.96, 29,501.82 and 12,174.48

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Solution

The fourth proportional to 19,686.96, 29,501.82 and 12,174.48 is: 18,244.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.96 : 29,501.82 = 12,174.48 : x
  2. Step 2: Convert to fraction form
    19,686.96/29,501.82 = 12,174.48/x
  3. Step 3: Cross multiply
    19,686.96x = 29,501.82 × 12,174.48
  4. Step 4: Simplify right side
    19,686.96x = 359,169,317.55
  5. Step 5: Solve for x
    x = 359,169,317.55/19,686.96
  6. Step 6: Final answer
    x = 18,244.02

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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.