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Finding the Fourth Proportional to 12,809.12, 19,216.65 and 5,018

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Solution

The fourth proportional to 12,809.12, 19,216.65 and 5,018 is: 7,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,809.12 : 19,216.65 = 5,018 : x
  2. Step 2: Convert to fraction form
    12,809.12/19,216.65 = 5,018/x
  3. Step 3: Cross multiply
    12,809.12x = 19,216.65 × 5,018
  4. Step 4: Simplify right side
    12,809.12x = 96,429,149.70
  5. Step 5: Solve for x
    x = 96,429,149.70/12,809.12
  6. Step 6: Final answer
    x = 7,528.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.