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Finding the Fourth Proportional to 12,106.64, 18,162.88 and 4,208.01

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Solution

The fourth proportional to 12,106.64, 18,162.88 and 4,208.01 is: 6,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.64 : 18,162.88 = 4,208.01 : x
  2. Step 2: Convert to fraction form
    12,106.64/18,162.88 = 4,208.01/x
  3. Step 3: Cross multiply
    12,106.64x = 18,162.88 × 4,208.01
  4. Step 4: Simplify right side
    12,106.64x = 76,429,502.04
  5. Step 5: Solve for x
    x = 76,429,502.04/12,106.64
  6. Step 6: Final answer
    x = 6,313.02

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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.