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Finding the Fourth Proportional to 21,234.16, 29,303.70 and 12,284.44

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Solution

The fourth proportional to 21,234.16, 29,303.70 and 12,284.44 is: 16,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,234.16 : 29,303.70 = 12,284.44 : x
  2. Step 2: Convert to fraction form
    21,234.16/29,303.70 = 12,284.44/x
  3. Step 3: Cross multiply
    21,234.16x = 29,303.70 × 12,284.44
  4. Step 4: Simplify right side
    21,234.16x = 359,979,544.43
  5. Step 5: Solve for x
    x = 359,979,544.43/21,234.16
  6. Step 6: Final answer
    x = 16,952.85

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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.