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Finding the Fourth Proportional to 13,107.06, 19,656 and 4,339.62

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Solution

The fourth proportional to 13,107.06, 19,656 and 4,339.62 is: 6,507.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.06 : 19,656 = 4,339.62 : x
  2. Step 2: Convert to fraction form
    13,107.06/19,656 = 4,339.62/x
  3. Step 3: Cross multiply
    13,107.06x = 19,656 × 4,339.62
  4. Step 4: Simplify right side
    13,107.06x = 85,299,570.72
  5. Step 5: Solve for x
    x = 85,299,570.72/13,107.06
  6. Step 6: Final answer
    x = 6,507.91

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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.