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Finding the Fourth Proportional to 12,737.44, 19,106.30 and 3,852.86

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Solution

The fourth proportional to 12,737.44, 19,106.30 and 3,852.86 is: 5,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.44 : 19,106.30 = 3,852.86 : x
  2. Step 2: Convert to fraction form
    12,737.44/19,106.30 = 3,852.86/x
  3. Step 3: Cross multiply
    12,737.44x = 19,106.30 × 3,852.86
  4. Step 4: Simplify right side
    12,737.44x = 73,613,899.02
  5. Step 5: Solve for x
    x = 73,613,899.02/12,737.44
  6. Step 6: Final answer
    x = 5,779.33

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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.