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Finding the Fourth Proportional to 20,501.53, 28,299.10 and 12,746.41

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Solution

The fourth proportional to 20,501.53, 28,299.10 and 12,746.41 is: 17,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,501.53 : 28,299.10 = 12,746.41 : x
  2. Step 2: Convert to fraction form
    20,501.53/28,299.10 = 12,746.41/x
  3. Step 3: Cross multiply
    20,501.53x = 28,299.10 × 12,746.41
  4. Step 4: Simplify right side
    20,501.53x = 360,711,975.85
  5. Step 5: Solve for x
    x = 360,711,975.85/20,501.53
  6. Step 6: Final answer
    x = 17,594.39

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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.