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Finding the Fourth Proportional to 12,967.36, 19,460.67 and 9,643.36

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Solution

The fourth proportional to 12,967.36, 19,460.67 and 9,643.36 is: 14,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.36 : 19,460.67 = 9,643.36 : x
  2. Step 2: Convert to fraction form
    12,967.36/19,460.67 = 9,643.36/x
  3. Step 3: Cross multiply
    12,967.36x = 19,460.67 × 9,643.36
  4. Step 4: Simplify right side
    12,967.36x = 187,666,246.65
  5. Step 5: Solve for x
    x = 187,666,246.65/12,967.36
  6. Step 6: Final answer
    x = 14,472.20

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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.