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Finding the Fourth Proportional to 12,986.56, 19,479.78 and 4,222

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Solution

The fourth proportional to 12,986.56, 19,479.78 and 4,222 is: 6,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.56 : 19,479.78 = 4,222 : x
  2. Step 2: Convert to fraction form
    12,986.56/19,479.78 = 4,222/x
  3. Step 3: Cross multiply
    12,986.56x = 19,479.78 × 4,222
  4. Step 4: Simplify right side
    12,986.56x = 82,243,631.16
  5. Step 5: Solve for x
    x = 82,243,631.16/12,986.56
  6. Step 6: Final answer
    x = 6,332.98

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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.