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Finding the Fourth Proportional to 12,813.17, 19,218.74 and 4,048.16

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Solution

The fourth proportional to 12,813.17, 19,218.74 and 4,048.16 is: 6,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.17 : 19,218.74 = 4,048.16 : x
  2. Step 2: Convert to fraction form
    12,813.17/19,218.74 = 4,048.16/x
  3. Step 3: Cross multiply
    12,813.17x = 19,218.74 × 4,048.16
  4. Step 4: Simplify right side
    12,813.17x = 77,800,418.18
  5. Step 5: Solve for x
    x = 77,800,418.18/12,813.17
  6. Step 6: Final answer
    x = 6,071.91

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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.