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Finding the Fourth Proportional to 14,822.36, 20,454.08 and 8,106.68

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Solution

The fourth proportional to 14,822.36, 20,454.08 and 8,106.68 is: 11,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.36 : 20,454.08 = 8,106.68 : x
  2. Step 2: Convert to fraction form
    14,822.36/20,454.08 = 8,106.68/x
  3. Step 3: Cross multiply
    14,822.36x = 20,454.08 × 8,106.68
  4. Step 4: Simplify right side
    14,822.36x = 165,814,681.25
  5. Step 5: Solve for x
    x = 165,814,681.25/14,822.36
  6. Step 6: Final answer
    x = 11,186.79

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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.