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Finding the Fourth Proportional to 13,271.41, 19,907.12 and 3,410.70

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Solution

The fourth proportional to 13,271.41, 19,907.12 and 3,410.70 is: 5,116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,271.41 : 19,907.12 = 3,410.70 : x
  2. Step 2: Convert to fraction form
    13,271.41/19,907.12 = 3,410.70/x
  3. Step 3: Cross multiply
    13,271.41x = 19,907.12 × 3,410.70
  4. Step 4: Simplify right side
    13,271.41x = 67,897,214.18
  5. Step 5: Solve for x
    x = 67,897,214.18/13,271.41
  6. Step 6: Final answer
    x = 5,116.05

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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.