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Finding the Fourth Proportional to 13,384.49, 20,070.90 and 7,143.10

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Solution

The fourth proportional to 13,384.49, 20,070.90 and 7,143.10 is: 10,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.49 : 20,070.90 = 7,143.10 : x
  2. Step 2: Convert to fraction form
    13,384.49/20,070.90 = 7,143.10/x
  3. Step 3: Cross multiply
    13,384.49x = 20,070.90 × 7,143.10
  4. Step 4: Simplify right side
    13,384.49x = 143,368,395.61
  5. Step 5: Solve for x
    x = 143,368,395.61/13,384.49
  6. Step 6: Final answer
    x = 10,711.54

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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.