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Finding the Fourth Proportional to 14,305.50, 19,741.59 and 8,017.92

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Solution

The fourth proportional to 14,305.50, 19,741.59 and 8,017.92 is: 11,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.50 : 19,741.59 = 8,017.92 : x
  2. Step 2: Convert to fraction form
    14,305.50/19,741.59 = 8,017.92/x
  3. Step 3: Cross multiply
    14,305.50x = 19,741.59 × 8,017.92
  4. Step 4: Simplify right side
    14,305.50x = 158,286,489.29
  5. Step 5: Solve for x
    x = 158,286,489.29/14,305.50
  6. Step 6: Final answer
    x = 11,064.73

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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.