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Finding the Fourth Proportional to 12,647.30, 18,970.38 and 4,328.06

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Solution

The fourth proportional to 12,647.30, 18,970.38 and 4,328.06 is: 6,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.30 : 18,970.38 = 4,328.06 : x
  2. Step 2: Convert to fraction form
    12,647.30/18,970.38 = 4,328.06/x
  3. Step 3: Cross multiply
    12,647.30x = 18,970.38 × 4,328.06
  4. Step 4: Simplify right side
    12,647.30x = 82,104,848.01
  5. Step 5: Solve for x
    x = 82,104,848.01/12,647.30
  6. Step 6: Final answer
    x = 6,491.89

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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.