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Finding the Fourth Proportional to 15,827.82, 21,842.76 and 8,754.54

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Solution

The fourth proportional to 15,827.82, 21,842.76 and 8,754.54 is: 12,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.82 : 21,842.76 = 8,754.54 : x
  2. Step 2: Convert to fraction form
    15,827.82/21,842.76 = 8,754.54/x
  3. Step 3: Cross multiply
    15,827.82x = 21,842.76 × 8,754.54
  4. Step 4: Simplify right side
    15,827.82x = 191,223,316.13
  5. Step 5: Solve for x
    x = 191,223,316.13/15,827.82
  6. Step 6: Final answer
    x = 12,081.47

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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.