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Finding the Fourth Proportional to 12,987.64, 19,485.30 and 4,223.80

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Solution

The fourth proportional to 12,987.64, 19,485.30 and 4,223.80 is: 6,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.64 : 19,485.30 = 4,223.80 : x
  2. Step 2: Convert to fraction form
    12,987.64/19,485.30 = 4,223.80/x
  3. Step 3: Cross multiply
    12,987.64x = 19,485.30 × 4,223.80
  4. Step 4: Simplify right side
    12,987.64x = 82,302,010.14
  5. Step 5: Solve for x
    x = 82,302,010.14/12,987.64
  6. Step 6: Final answer
    x = 6,336.95

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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.