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Finding the Fourth Proportional to 13,643.91, 18,822.76 and 7,819.93

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Solution

The fourth proportional to 13,643.91, 18,822.76 and 7,819.93 is: 10,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.91 : 18,822.76 = 7,819.93 : x
  2. Step 2: Convert to fraction form
    13,643.91/18,822.76 = 7,819.93/x
  3. Step 3: Cross multiply
    13,643.91x = 18,822.76 × 7,819.93
  4. Step 4: Simplify right side
    13,643.91x = 147,192,665.61
  5. Step 5: Solve for x
    x = 147,192,665.61/13,643.91
  6. Step 6: Final answer
    x = 10,788.16

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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.