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Finding the Fourth Proportional to 14,582.23, 20,123.04 and 8,209.18

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Solution

The fourth proportional to 14,582.23, 20,123.04 and 8,209.18 is: 11,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.23 : 20,123.04 = 8,209.18 : x
  2. Step 2: Convert to fraction form
    14,582.23/20,123.04 = 8,209.18/x
  3. Step 3: Cross multiply
    14,582.23x = 20,123.04 × 8,209.18
  4. Step 4: Simplify right side
    14,582.23x = 165,193,657.51
  5. Step 5: Solve for x
    x = 165,193,657.51/14,582.23
  6. Step 6: Final answer
    x = 11,328.42

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Why These Related Problems?

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