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Finding the Fourth Proportional to 13,023.98, 19,533 and 5,997.26

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Solution

The fourth proportional to 13,023.98, 19,533 and 5,997.26 is: 8,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.98 : 19,533 = 5,997.26 : x
  2. Step 2: Convert to fraction form
    13,023.98/19,533 = 5,997.26/x
  3. Step 3: Cross multiply
    13,023.98x = 19,533 × 5,997.26
  4. Step 4: Simplify right side
    13,023.98x = 117,144,479.58
  5. Step 5: Solve for x
    x = 117,144,479.58/13,023.98
  6. Step 6: Final answer
    x = 8,994.52

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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.