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Finding the Fourth Proportional to 13,226.40, 19,807.20 and 6,292.80

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Solution

The fourth proportional to 13,226.40, 19,807.20 and 6,292.80 is: 9,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.40 : 19,807.20 = 6,292.80 : x
  2. Step 2: Convert to fraction form
    13,226.40/19,807.20 = 6,292.80/x
  3. Step 3: Cross multiply
    13,226.40x = 19,807.20 × 6,292.80
  4. Step 4: Simplify right side
    13,226.40x = 124,642,748.16
  5. Step 5: Solve for x
    x = 124,642,748.16/13,226.40
  6. Step 6: Final answer
    x = 9,423.78

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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.