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Finding the Fourth Proportional to 14,582.42, 20,123.53 and 8,209.01

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Solution

The fourth proportional to 14,582.42, 20,123.53 and 8,209.01 is: 11,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,582.42 : 20,123.53 = 8,209.01 : x
  2. Step 2: Convert to fraction form
    14,582.42/20,123.53 = 8,209.01/x
  3. Step 3: Cross multiply
    14,582.42x = 20,123.53 × 8,209.01
  4. Step 4: Simplify right side
    14,582.42x = 165,194,259.01
  5. Step 5: Solve for x
    x = 165,194,259.01/14,582.42
  6. Step 6: Final answer
    x = 11,328.32

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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.