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Finding the Fourth Proportional to 18,047.72, 24,907.14 and 12,449

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Solution

The fourth proportional to 18,047.72, 24,907.14 and 12,449 is: 17,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,047.72 : 24,907.14 = 12,449 : x
  2. Step 2: Convert to fraction form
    18,047.72/24,907.14 = 12,449/x
  3. Step 3: Cross multiply
    18,047.72x = 24,907.14 × 12,449
  4. Step 4: Simplify right side
    18,047.72x = 310,068,985.86
  5. Step 5: Solve for x
    x = 310,068,985.86/18,047.72
  6. Step 6: Final answer
    x = 17,180.51

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1.5x scale

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.