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Finding the Fourth Proportional to 13,719.61, 20,577.01 and 3,856.54

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Solution

The fourth proportional to 13,719.61, 20,577.01 and 3,856.54 is: 5,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.61 : 20,577.01 = 3,856.54 : x
  2. Step 2: Convert to fraction form
    13,719.61/20,577.01 = 3,856.54/x
  3. Step 3: Cross multiply
    13,719.61x = 20,577.01 × 3,856.54
  4. Step 4: Simplify right side
    13,719.61x = 79,356,123.23
  5. Step 5: Solve for x
    x = 79,356,123.23/13,719.61
  6. Step 6: Final answer
    x = 5,784.14

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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.