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Finding the Fourth Proportional to 16,215.60, 24,329.16 and 6,858

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Solution

The fourth proportional to 16,215.60, 24,329.16 and 6,858 is: 10,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.60 : 24,329.16 = 6,858 : x
  2. Step 2: Convert to fraction form
    16,215.60/24,329.16 = 6,858/x
  3. Step 3: Cross multiply
    16,215.60x = 24,329.16 × 6,858
  4. Step 4: Simplify right side
    16,215.60x = 166,849,379.28
  5. Step 5: Solve for x
    x = 166,849,379.28/16,215.60
  6. Step 6: Final answer
    x = 10,289.44

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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.