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Finding the Fourth Proportional to 13,038.17, 19,562.11 and 7,193.21

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Solution

The fourth proportional to 13,038.17, 19,562.11 and 7,193.21 is: 10,792.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.17 : 19,562.11 = 7,193.21 : x
  2. Step 2: Convert to fraction form
    13,038.17/19,562.11 = 7,193.21/x
  3. Step 3: Cross multiply
    13,038.17x = 19,562.11 × 7,193.21
  4. Step 4: Simplify right side
    13,038.17x = 140,714,249.48
  5. Step 5: Solve for x
    x = 140,714,249.48/13,038.17
  6. Step 6: Final answer
    x = 10,792.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.