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Finding the Fourth Proportional to 15,827.56, 21,842.90 and 8,753.80

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Solution

The fourth proportional to 15,827.56, 21,842.90 and 8,753.80 is: 12,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.56 : 21,842.90 = 8,753.80 : x
  2. Step 2: Convert to fraction form
    15,827.56/21,842.90 = 8,753.80/x
  3. Step 3: Cross multiply
    15,827.56x = 21,842.90 × 8,753.80
  4. Step 4: Simplify right side
    15,827.56x = 191,208,378.02
  5. Step 5: Solve for x
    x = 191,208,378.02/15,827.56
  6. Step 6: Final answer
    x = 12,080.72

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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.