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Finding the Fourth Proportional to 16,401.76, 22,636.34 and 9,329.24

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Solution

The fourth proportional to 16,401.76, 22,636.34 and 9,329.24 is: 12,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.76 : 22,636.34 = 9,329.24 : x
  2. Step 2: Convert to fraction form
    16,401.76/22,636.34 = 9,329.24/x
  3. Step 3: Cross multiply
    16,401.76x = 22,636.34 × 9,329.24
  4. Step 4: Simplify right side
    16,401.76x = 211,179,848.58
  5. Step 5: Solve for x
    x = 211,179,848.58/16,401.76
  6. Step 6: Final answer
    x = 12,875.44

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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.