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Finding the Fourth Proportional to 14,305.53, 19,741.67 and 8,017.91

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Solution

The fourth proportional to 14,305.53, 19,741.67 and 8,017.91 is: 11,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.53 : 19,741.67 = 8,017.91 : x
  2. Step 2: Convert to fraction form
    14,305.53/19,741.67 = 8,017.91/x
  3. Step 3: Cross multiply
    14,305.53x = 19,741.67 × 8,017.91
  4. Step 4: Simplify right side
    14,305.53x = 158,286,898.61
  5. Step 5: Solve for x
    x = 158,286,898.61/14,305.53
  6. Step 6: Final answer
    x = 11,064.73

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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.