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Finding the Fourth Proportional to 14,173.77, 19,561.77 and 8,207.31

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Solution

The fourth proportional to 14,173.77, 19,561.77 and 8,207.31 is: 11,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,173.77 : 19,561.77 = 8,207.31 : x
  2. Step 2: Convert to fraction form
    14,173.77/19,561.77 = 8,207.31/x
  3. Step 3: Cross multiply
    14,173.77x = 19,561.77 × 8,207.31
  4. Step 4: Simplify right side
    14,173.77x = 160,549,510.54
  5. Step 5: Solve for x
    x = 160,549,510.54/14,173.77
  6. Step 6: Final answer
    x = 11,327.23

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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.