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Finding the Fourth Proportional to 13,184.46, 19,779.65 and 4,419.15

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Solution

The fourth proportional to 13,184.46, 19,779.65 and 4,419.15 is: 6,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.46 : 19,779.65 = 4,419.15 : x
  2. Step 2: Convert to fraction form
    13,184.46/19,779.65 = 4,419.15/x
  3. Step 3: Cross multiply
    13,184.46x = 19,779.65 × 4,419.15
  4. Step 4: Simplify right side
    13,184.46x = 87,409,251.35
  5. Step 5: Solve for x
    x = 87,409,251.35/13,184.46
  6. Step 6: Final answer
    x = 6,629.72

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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.