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Finding the Fourth Proportional to 13,003.62, 19,509.06 and 4,239.06

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Solution

The fourth proportional to 13,003.62, 19,509.06 and 4,239.06 is: 6,359.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.62 : 19,509.06 = 4,239.06 : x
  2. Step 2: Convert to fraction form
    13,003.62/19,509.06 = 4,239.06/x
  3. Step 3: Cross multiply
    13,003.62x = 19,509.06 × 4,239.06
  4. Step 4: Simplify right side
    13,003.62x = 82,700,075.88
  5. Step 5: Solve for x
    x = 82,700,075.88/13,003.62
  6. Step 6: Final answer
    x = 6,359.77

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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.