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Finding the Fourth Proportional to 13,428.61, 20,142.93 and 5,106.67

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Solution

The fourth proportional to 13,428.61, 20,142.93 and 5,106.67 is: 7,660.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.61 : 20,142.93 = 5,106.67 : x
  2. Step 2: Convert to fraction form
    13,428.61/20,142.93 = 5,106.67/x
  3. Step 3: Cross multiply
    13,428.61x = 20,142.93 × 5,106.67
  4. Step 4: Simplify right side
    13,428.61x = 102,863,296.34
  5. Step 5: Solve for x
    x = 102,863,296.34/13,428.61
  6. Step 6: Final answer
    x = 7,660.01

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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.