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Finding the Fourth Proportional to 13,657.50, 20,467.20 and 10,323

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Solution

The fourth proportional to 13,657.50, 20,467.20 and 10,323 is: 15,470.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,657.50 : 20,467.20 = 10,323 : x
  2. Step 2: Convert to fraction form
    13,657.50/20,467.20 = 10,323/x
  3. Step 3: Cross multiply
    13,657.50x = 20,467.20 × 10,323
  4. Step 4: Simplify right side
    13,657.50x = 211,282,905.60
  5. Step 5: Solve for x
    x = 211,282,905.60/13,657.50
  6. Step 6: Final answer
    x = 15,470.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.