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Finding the Fourth Proportional to 12,984.81, 19,479.65 and 4,222.23

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Solution

The fourth proportional to 12,984.81, 19,479.65 and 4,222.23 is: 6,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,984.81 : 19,479.65 = 4,222.23 : x
  2. Step 2: Convert to fraction form
    12,984.81/19,479.65 = 4,222.23/x
  3. Step 3: Cross multiply
    12,984.81x = 19,479.65 × 4,222.23
  4. Step 4: Simplify right side
    12,984.81x = 82,247,541.51
  5. Step 5: Solve for x
    x = 82,247,541.51/12,984.81
  6. Step 6: Final answer
    x = 6,334.14

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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.