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Finding the Fourth Proportional to 22,430.76, 30,921.24 and 14,363.52

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Solution

The fourth proportional to 22,430.76, 30,921.24 and 14,363.52 is: 19,800.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.76 : 30,921.24 = 14,363.52 : x
  2. Step 2: Convert to fraction form
    22,430.76/30,921.24 = 14,363.52/x
  3. Step 3: Cross multiply
    22,430.76x = 30,921.24 × 14,363.52
  4. Step 4: Simplify right side
    22,430.76x = 444,137,849.16
  5. Step 5: Solve for x
    x = 444,137,849.16/22,430.76
  6. Step 6: Final answer
    x = 19,800.39

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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.