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Finding the Fourth Proportional to 13,139.94, 19,713.24 and 3,779.76

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Solution

The fourth proportional to 13,139.94, 19,713.24 and 3,779.76 is: 5,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.94 : 19,713.24 = 3,779.76 : x
  2. Step 2: Convert to fraction form
    13,139.94/19,713.24 = 3,779.76/x
  3. Step 3: Cross multiply
    13,139.94x = 19,713.24 × 3,779.76
  4. Step 4: Simplify right side
    13,139.94x = 74,511,316.02
  5. Step 5: Solve for x
    x = 74,511,316.02/13,139.94
  6. Step 6: Final answer
    x = 5,670.60

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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.