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Finding the Fourth Proportional to 12,763.40, 19,145.10 and 9,847.40

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Solution

The fourth proportional to 12,763.40, 19,145.10 and 9,847.40 is: 14,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.40 : 19,145.10 = 9,847.40 : x
  2. Step 2: Convert to fraction form
    12,763.40/19,145.10 = 9,847.40/x
  3. Step 3: Cross multiply
    12,763.40x = 19,145.10 × 9,847.40
  4. Step 4: Simplify right side
    12,763.40x = 188,529,457.74
  5. Step 5: Solve for x
    x = 188,529,457.74/12,763.40
  6. Step 6: Final answer
    x = 14,771.10

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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.