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Finding the Fourth Proportional to 14,133.20, 21,224.10 and 10,002.20

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Solution

The fourth proportional to 14,133.20, 21,224.10 and 10,002.20 is: 15,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.20 : 21,224.10 = 10,002.20 : x
  2. Step 2: Convert to fraction form
    14,133.20/21,224.10 = 10,002.20/x
  3. Step 3: Cross multiply
    14,133.20x = 21,224.10 × 10,002.20
  4. Step 4: Simplify right side
    14,133.20x = 212,287,693.02
  5. Step 5: Solve for x
    x = 212,287,693.02/14,133.20
  6. Step 6: Final answer
    x = 15,020.50

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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.