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Finding the Fourth Proportional to 16,165.34, 24,230.06 and 6,802.62

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Solution

The fourth proportional to 16,165.34, 24,230.06 and 6,802.62 is: 10,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,165.34 : 24,230.06 = 6,802.62 : x
  2. Step 2: Convert to fraction form
    16,165.34/24,230.06 = 6,802.62/x
  3. Step 3: Cross multiply
    16,165.34x = 24,230.06 × 6,802.62
  4. Step 4: Simplify right side
    16,165.34x = 164,827,890.76
  5. Step 5: Solve for x
    x = 164,827,890.76/16,165.34
  6. Step 6: Final answer
    x = 10,196.38

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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.