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Finding the Fourth Proportional to 12,223.94, 16,868.52 and 6,919.05

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Solution

The fourth proportional to 12,223.94, 16,868.52 and 6,919.05 is: 9,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.94 : 16,868.52 = 6,919.05 : x
  2. Step 2: Convert to fraction form
    12,223.94/16,868.52 = 6,919.05/x
  3. Step 3: Cross multiply
    12,223.94x = 16,868.52 × 6,919.05
  4. Step 4: Simplify right side
    12,223.94x = 116,714,048.96
  5. Step 5: Solve for x
    x = 116,714,048.96/12,223.94
  6. Step 6: Final answer
    x = 9,547.99

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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.