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Finding the Fourth Proportional to 16,272.34, 24,408.54 and 13,006.17

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Solution

The fourth proportional to 16,272.34, 24,408.54 and 13,006.17 is: 19,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.34 : 24,408.54 = 13,006.17 : x
  2. Step 2: Convert to fraction form
    16,272.34/24,408.54 = 13,006.17/x
  3. Step 3: Cross multiply
    16,272.34x = 24,408.54 × 13,006.17
  4. Step 4: Simplify right side
    16,272.34x = 317,461,620.69
  5. Step 5: Solve for x
    x = 317,461,620.69/16,272.34
  6. Step 6: Final answer
    x = 19,509.28

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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.