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Finding the Fourth Proportional to 12,901.83, 17,800.32 and 7,523.05

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Solution

The fourth proportional to 12,901.83, 17,800.32 and 7,523.05 is: 10,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901.83 : 17,800.32 = 7,523.05 : x
  2. Step 2: Convert to fraction form
    12,901.83/17,800.32 = 7,523.05/x
  3. Step 3: Cross multiply
    12,901.83x = 17,800.32 × 7,523.05
  4. Step 4: Simplify right side
    12,901.83x = 133,912,624.66
  5. Step 5: Solve for x
    x = 133,912,624.66/12,901.83
  6. Step 6: Final answer
    x = 10,379.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.