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Finding the Fourth Proportional to 12,430.84, 18,640.36 and 4,527.76

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Solution

The fourth proportional to 12,430.84, 18,640.36 and 4,527.76 is: 6,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.84 : 18,640.36 = 4,527.76 : x
  2. Step 2: Convert to fraction form
    12,430.84/18,640.36 = 4,527.76/x
  3. Step 3: Cross multiply
    12,430.84x = 18,640.36 × 4,527.76
  4. Step 4: Simplify right side
    12,430.84x = 84,399,076.39
  5. Step 5: Solve for x
    x = 84,399,076.39/12,430.84
  6. Step 6: Final answer
    x = 6,789.49

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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.