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Finding the Fourth Proportional to 23,754.74, 32,780.57 and 13,143.74

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Solution

The fourth proportional to 23,754.74, 32,780.57 and 13,143.74 is: 18,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,754.74 : 32,780.57 = 13,143.74 : x
  2. Step 2: Convert to fraction form
    23,754.74/32,780.57 = 13,143.74/x
  3. Step 3: Cross multiply
    23,754.74x = 32,780.57 × 13,143.74
  4. Step 4: Simplify right side
    23,754.74x = 430,859,059.51
  5. Step 5: Solve for x
    x = 430,859,059.51/23,754.74
  6. Step 6: Final answer
    x = 18,137.82

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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.