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Finding the Fourth Proportional to 13,682.34, 20,533.50 and 10,570.14

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Solution

The fourth proportional to 13,682.34, 20,533.50 and 10,570.14 is: 15,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.34 : 20,533.50 = 10,570.14 : x
  2. Step 2: Convert to fraction form
    13,682.34/20,533.50 = 10,570.14/x
  3. Step 3: Cross multiply
    13,682.34x = 20,533.50 × 10,570.14
  4. Step 4: Simplify right side
    13,682.34x = 217,041,969.69
  5. Step 5: Solve for x
    x = 217,041,969.69/13,682.34
  6. Step 6: Final answer
    x = 15,862.93

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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.