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Finding the Fourth Proportional to 12,271.40, 18,416.70 and 5,698.40

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Solution

The fourth proportional to 12,271.40, 18,416.70 and 5,698.40 is: 8,552.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.40 : 18,416.70 = 5,698.40 : x
  2. Step 2: Convert to fraction form
    12,271.40/18,416.70 = 5,698.40/x
  3. Step 3: Cross multiply
    12,271.40x = 18,416.70 × 5,698.40
  4. Step 4: Simplify right side
    12,271.40x = 104,945,723.28
  5. Step 5: Solve for x
    x = 104,945,723.28/12,271.40
  6. Step 6: Final answer
    x = 8,552.06

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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.