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Finding the Fourth Proportional to 18,657.34, 27,849.50 and 16,443.07

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Solution

The fourth proportional to 18,657.34, 27,849.50 and 16,443.07 is: 24,544.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.34 : 27,849.50 = 16,443.07 : x
  2. Step 2: Convert to fraction form
    18,657.34/27,849.50 = 16,443.07/x
  3. Step 3: Cross multiply
    18,657.34x = 27,849.50 × 16,443.07
  4. Step 4: Simplify right side
    18,657.34x = 457,931,277.97
  5. Step 5: Solve for x
    x = 457,931,277.97/18,657.34
  6. Step 6: Final answer
    x = 24,544.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.