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Finding the Fourth Proportional to 12,643.36, 18,968.88 and 4,436

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Solution

The fourth proportional to 12,643.36, 18,968.88 and 4,436 is: 6,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.36 : 18,968.88 = 4,436 : x
  2. Step 2: Convert to fraction form
    12,643.36/18,968.88 = 4,436/x
  3. Step 3: Cross multiply
    12,643.36x = 18,968.88 × 4,436
  4. Step 4: Simplify right side
    12,643.36x = 84,145,951.68
  5. Step 5: Solve for x
    x = 84,145,951.68/12,643.36
  6. Step 6: Final answer
    x = 6,655.35

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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.