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Finding the Fourth Proportional to 14,192.35, 19,582.44 and 8,223.65

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Solution

The fourth proportional to 14,192.35, 19,582.44 and 8,223.65 is: 11,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.35 : 19,582.44 = 8,223.65 : x
  2. Step 2: Convert to fraction form
    14,192.35/19,582.44 = 8,223.65/x
  3. Step 3: Cross multiply
    14,192.35x = 19,582.44 × 8,223.65
  4. Step 4: Simplify right side
    14,192.35x = 161,039,132.71
  5. Step 5: Solve for x
    x = 161,039,132.71/14,192.35
  6. Step 6: Final answer
    x = 11,346.90

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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.