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Finding the Fourth Proportional to 15,827.40, 21,841.92 and 8,754.21

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Solution

The fourth proportional to 15,827.40, 21,841.92 and 8,754.21 is: 12,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.40 : 21,841.92 = 8,754.21 : x
  2. Step 2: Convert to fraction form
    15,827.40/21,841.92 = 8,754.21/x
  3. Step 3: Cross multiply
    15,827.40x = 21,841.92 × 8,754.21
  4. Step 4: Simplify right side
    15,827.40x = 191,208,754.48
  5. Step 5: Solve for x
    x = 191,208,754.48/15,827.40
  6. Step 6: Final answer
    x = 12,080.87

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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.