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Finding the Fourth Proportional to 10,800.32, 14,896.39 and 9,590.46

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Solution

The fourth proportional to 10,800.32, 14,896.39 and 9,590.46 is: 13,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.32 : 14,896.39 = 9,590.46 : x
  2. Step 2: Convert to fraction form
    10,800.32/14,896.39 = 9,590.46/x
  3. Step 3: Cross multiply
    10,800.32x = 14,896.39 × 9,590.46
  4. Step 4: Simplify right side
    10,800.32x = 142,863,208.46
  5. Step 5: Solve for x
    x = 142,863,208.46/10,800.32
  6. Step 6: Final answer
    x = 13,227.69

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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.