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Finding the Fourth Proportional to 13,809.30, 19,056.32 and 8,440.73

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Solution

The fourth proportional to 13,809.30, 19,056.32 and 8,440.73 is: 11,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.30 : 19,056.32 = 8,440.73 : x
  2. Step 2: Convert to fraction form
    13,809.30/19,056.32 = 8,440.73/x
  3. Step 3: Cross multiply
    13,809.30x = 19,056.32 × 8,440.73
  4. Step 4: Simplify right side
    13,809.30x = 160,849,251.91
  5. Step 5: Solve for x
    x = 160,849,251.91/13,809.30
  6. Step 6: Final answer
    x = 11,647.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.