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Finding the Fourth Proportional to 11,800.32, 16,291.44 and 10,488.24

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Solution

The fourth proportional to 11,800.32, 16,291.44 and 10,488.24 is: 14,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.32 : 16,291.44 = 10,488.24 : x
  2. Step 2: Convert to fraction form
    11,800.32/16,291.44 = 10,488.24/x
  3. Step 3: Cross multiply
    11,800.32x = 16,291.44 × 10,488.24
  4. Step 4: Simplify right side
    11,800.32x = 170,868,532.67
  5. Step 5: Solve for x
    x = 170,868,532.67/11,800.32
  6. Step 6: Final answer
    x = 14,479.99

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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.