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Finding the Fourth Proportional to 20,580.84, 28,402.02 and 12,194.28

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Solution

The fourth proportional to 20,580.84, 28,402.02 and 12,194.28 is: 16,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.84 : 28,402.02 = 12,194.28 : x
  2. Step 2: Convert to fraction form
    20,580.84/28,402.02 = 12,194.28/x
  3. Step 3: Cross multiply
    20,580.84x = 28,402.02 × 12,194.28
  4. Step 4: Simplify right side
    20,580.84x = 346,342,184.45
  5. Step 5: Solve for x
    x = 346,342,184.45/20,580.84
  6. Step 6: Final answer
    x = 16,828.38

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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.