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Finding the Fourth Proportional to 19,237.86, 28,865.70 and 8,147.16

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Solution

The fourth proportional to 19,237.86, 28,865.70 and 8,147.16 is: 12,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,237.86 : 28,865.70 = 8,147.16 : x
  2. Step 2: Convert to fraction form
    19,237.86/28,865.70 = 8,147.16/x
  3. Step 3: Cross multiply
    19,237.86x = 28,865.70 × 8,147.16
  4. Step 4: Simplify right side
    19,237.86x = 235,173,476.41
  5. Step 5: Solve for x
    x = 235,173,476.41/19,237.86
  6. Step 6: Final answer
    x = 12,224.51

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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.