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Finding the Fourth Proportional to 19,683.71, 29,494.58 and 12,277.07

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Solution

The fourth proportional to 19,683.71, 29,494.58 and 12,277.07 is: 18,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.71 : 29,494.58 = 12,277.07 : x
  2. Step 2: Convert to fraction form
    19,683.71/29,494.58 = 12,277.07/x
  3. Step 3: Cross multiply
    19,683.71x = 29,494.58 × 12,277.07
  4. Step 4: Simplify right side
    19,683.71x = 362,107,023.28
  5. Step 5: Solve for x
    x = 362,107,023.28/19,683.71
  6. Step 6: Final answer
    x = 18,396.28

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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.