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Finding the Fourth Proportional to 21,803, 30,080.38 and 14,253.67

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Solution

The fourth proportional to 21,803, 30,080.38 and 14,253.67 is: 19,664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,803 : 30,080.38 = 14,253.67 : x
  2. Step 2: Convert to fraction form
    21,803/30,080.38 = 14,253.67/x
  3. Step 3: Cross multiply
    21,803x = 30,080.38 × 14,253.67
  4. Step 4: Simplify right side
    21,803x = 428,755,809.99
  5. Step 5: Solve for x
    x = 428,755,809.99/21,803
  6. Step 6: Final answer
    x = 19,664.99

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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.