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Finding the Fourth Proportional to 15,832.70, 23,737.05 and 8,047.10

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Solution

The fourth proportional to 15,832.70, 23,737.05 and 8,047.10 is: 12,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.70 : 23,737.05 = 8,047.10 : x
  2. Step 2: Convert to fraction form
    15,832.70/23,737.05 = 8,047.10/x
  3. Step 3: Cross multiply
    15,832.70x = 23,737.05 × 8,047.10
  4. Step 4: Simplify right side
    15,832.70x = 191,014,415.06
  5. Step 5: Solve for x
    x = 191,014,415.06/15,832.70
  6. Step 6: Final answer
    x = 12,064.55

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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.