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Finding the Fourth Proportional to 19,686.78, 29,515.59 and 11,893.77

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Solution

The fourth proportional to 19,686.78, 29,515.59 and 11,893.77 is: 17,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.78 : 29,515.59 = 11,893.77 : x
  2. Step 2: Convert to fraction form
    19,686.78/29,515.59 = 11,893.77/x
  3. Step 3: Cross multiply
    19,686.78x = 29,515.59 × 11,893.77
  4. Step 4: Simplify right side
    19,686.78x = 351,051,638.87
  5. Step 5: Solve for x
    x = 351,051,638.87/19,686.78
  6. Step 6: Final answer
    x = 17,831.85

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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.