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Finding the Fourth Proportional to 14,822.40, 20,803.20 and 14,822.40

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Solution

The fourth proportional to 14,822.40, 20,803.20 and 14,822.40 is: 20,803.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.40 : 20,803.20 = 14,822.40 : x
  2. Step 2: Convert to fraction form
    14,822.40/20,803.20 = 14,822.40/x
  3. Step 3: Cross multiply
    14,822.40x = 20,803.20 × 14,822.40
  4. Step 4: Simplify right side
    14,822.40x = 308,353,351.68
  5. Step 5: Solve for x
    x = 308,353,351.68/14,822.40
  6. Step 6: Final answer
    x = 20,803.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.