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Finding the Fourth Proportional to 15,415.94, 23,086.64 and 8,822.14

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Solution

The fourth proportional to 15,415.94, 23,086.64 and 8,822.14 is: 13,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.94 : 23,086.64 = 8,822.14 : x
  2. Step 2: Convert to fraction form
    15,415.94/23,086.64 = 8,822.14/x
  3. Step 3: Cross multiply
    15,415.94x = 23,086.64 × 8,822.14
  4. Step 4: Simplify right side
    15,415.94x = 203,673,534.55
  5. Step 5: Solve for x
    x = 203,673,534.55/15,415.94
  6. Step 6: Final answer
    x = 13,211.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.