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Finding the Fourth Proportional to 14,815.17, 22,233.69 and 7,024.05

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Solution

The fourth proportional to 14,815.17, 22,233.69 and 7,024.05 is: 10,541.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,815.17 : 22,233.69 = 7,024.05 : x
  2. Step 2: Convert to fraction form
    14,815.17/22,233.69 = 7,024.05/x
  3. Step 3: Cross multiply
    14,815.17x = 22,233.69 × 7,024.05
  4. Step 4: Simplify right side
    14,815.17x = 156,170,550.24
  5. Step 5: Solve for x
    x = 156,170,550.24/14,815.17
  6. Step 6: Final answer
    x = 10,541.26

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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.