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Finding the Fourth Proportional to 13,099.34, 19,649.43 and 5,203.32

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Solution

The fourth proportional to 13,099.34, 19,649.43 and 5,203.32 is: 7,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.34 : 19,649.43 = 5,203.32 : x
  2. Step 2: Convert to fraction form
    13,099.34/19,649.43 = 5,203.32/x
  3. Step 3: Cross multiply
    13,099.34x = 19,649.43 × 5,203.32
  4. Step 4: Simplify right side
    13,099.34x = 102,242,272.11
  5. Step 5: Solve for x
    x = 102,242,272.11/13,099.34
  6. Step 6: Final answer
    x = 7,805.15

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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.