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Finding the Fourth Proportional to 12,646.55, 18,970.74 and 4,855.36

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Solution

The fourth proportional to 12,646.55, 18,970.74 and 4,855.36 is: 7,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.55 : 18,970.74 = 4,855.36 : x
  2. Step 2: Convert to fraction form
    12,646.55/18,970.74 = 4,855.36/x
  3. Step 3: Cross multiply
    12,646.55x = 18,970.74 × 4,855.36
  4. Step 4: Simplify right side
    12,646.55x = 92,109,760.31
  5. Step 5: Solve for x
    x = 92,109,760.31/12,646.55
  6. Step 6: Final answer
    x = 7,283.39

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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.