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Finding the Fourth Proportional to 12,828.77, 19,215.08 and 7,623.17

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Solution

The fourth proportional to 12,828.77, 19,215.08 and 7,623.17 is: 11,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.77 : 19,215.08 = 7,623.17 : x
  2. Step 2: Convert to fraction form
    12,828.77/19,215.08 = 7,623.17/x
  3. Step 3: Cross multiply
    12,828.77x = 19,215.08 × 7,623.17
  4. Step 4: Simplify right side
    12,828.77x = 146,479,783.29
  5. Step 5: Solve for x
    x = 146,479,783.29/12,828.77
  6. Step 6: Final answer
    x = 11,418.07

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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.