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Finding the Fourth Proportional to 13,005.06, 19,498.27 and 5,509.12

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Solution

The fourth proportional to 13,005.06, 19,498.27 and 5,509.12 is: 8,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.06 : 19,498.27 = 5,509.12 : x
  2. Step 2: Convert to fraction form
    13,005.06/19,498.27 = 5,509.12/x
  3. Step 3: Cross multiply
    13,005.06x = 19,498.27 × 5,509.12
  4. Step 4: Simplify right side
    13,005.06x = 107,418,295.45
  5. Step 5: Solve for x
    x = 107,418,295.45/13,005.06
  6. Step 6: Final answer
    x = 8,259.73

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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.