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Finding the Fourth Proportional to 13,705.66, 20,561.91 and 7,463.98

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Solution

The fourth proportional to 13,705.66, 20,561.91 and 7,463.98 is: 11,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.66 : 20,561.91 = 7,463.98 : x
  2. Step 2: Convert to fraction form
    13,705.66/20,561.91 = 7,463.98/x
  3. Step 3: Cross multiply
    13,705.66x = 20,561.91 × 7,463.98
  4. Step 4: Simplify right side
    13,705.66x = 153,473,685.00
  5. Step 5: Solve for x
    x = 153,473,685.00/13,705.66
  6. Step 6: Final answer
    x = 11,197.83

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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.