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Finding the Fourth Proportional to 13,686.96, 18,889.10 and 7,719.18

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Solution

The fourth proportional to 13,686.96, 18,889.10 and 7,719.18 is: 10,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.96 : 18,889.10 = 7,719.18 : x
  2. Step 2: Convert to fraction form
    13,686.96/18,889.10 = 7,719.18/x
  3. Step 3: Cross multiply
    13,686.96x = 18,889.10 × 7,719.18
  4. Step 4: Simplify right side
    13,686.96x = 145,808,362.94
  5. Step 5: Solve for x
    x = 145,808,362.94/13,686.96
  6. Step 6: Final answer
    x = 10,653.09

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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.