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Finding the Fourth Proportional to 13,009.90, 19,515 and 3,149.23

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Solution

The fourth proportional to 13,009.90, 19,515 and 3,149.23 is: 4,723.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.90 : 19,515 = 3,149.23 : x
  2. Step 2: Convert to fraction form
    13,009.90/19,515 = 3,149.23/x
  3. Step 3: Cross multiply
    13,009.90x = 19,515 × 3,149.23
  4. Step 4: Simplify right side
    13,009.90x = 61,457,125.88
  5. Step 5: Solve for x
    x = 61,457,125.88/13,009.90
  6. Step 6: Final answer
    x = 4,723.88

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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.