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Finding the Fourth Proportional to 20,582.71, 28,400.40 and 12,085.20

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Solution

The fourth proportional to 20,582.71, 28,400.40 and 12,085.20 is: 16,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.71 : 28,400.40 = 12,085.20 : x
  2. Step 2: Convert to fraction form
    20,582.71/28,400.40 = 12,085.20/x
  3. Step 3: Cross multiply
    20,582.71x = 28,400.40 × 12,085.20
  4. Step 4: Simplify right side
    20,582.71x = 343,224,514.08
  5. Step 5: Solve for x
    x = 343,224,514.08/20,582.71
  6. Step 6: Final answer
    x = 16,675.38

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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.