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Finding the Fourth Proportional to 15,086.16, 22,623.48 and 8,156.88

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Solution

The fourth proportional to 15,086.16, 22,623.48 and 8,156.88 is: 12,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,086.16 : 22,623.48 = 8,156.88 : x
  2. Step 2: Convert to fraction form
    15,086.16/22,623.48 = 8,156.88/x
  3. Step 3: Cross multiply
    15,086.16x = 22,623.48 × 8,156.88
  4. Step 4: Simplify right side
    15,086.16x = 184,537,011.54
  5. Step 5: Solve for x
    x = 184,537,011.54/15,086.16
  6. Step 6: Final answer
    x = 12,232.21

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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.