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Finding the Fourth Proportional to 13,005.83, 19,509.05 and 5,991.72

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Solution

The fourth proportional to 13,005.83, 19,509.05 and 5,991.72 is: 8,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.83 : 19,509.05 = 5,991.72 : x
  2. Step 2: Convert to fraction form
    13,005.83/19,509.05 = 5,991.72/x
  3. Step 3: Cross multiply
    13,005.83x = 19,509.05 × 5,991.72
  4. Step 4: Simplify right side
    13,005.83x = 116,892,816.62
  5. Step 5: Solve for x
    x = 116,892,816.62/13,005.83
  6. Step 6: Final answer
    x = 8,987.72

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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.