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Finding the Fourth Proportional to 16,334.50, 22,545.45 and 9,714.34

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Solution

The fourth proportional to 16,334.50, 22,545.45 and 9,714.34 is: 13,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.50 : 22,545.45 = 9,714.34 : x
  2. Step 2: Convert to fraction form
    16,334.50/22,545.45 = 9,714.34/x
  3. Step 3: Cross multiply
    16,334.50x = 22,545.45 × 9,714.34
  4. Step 4: Simplify right side
    16,334.50x = 219,014,166.75
  5. Step 5: Solve for x
    x = 219,014,166.75/16,334.50
  6. Step 6: Final answer
    x = 13,408.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.