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Finding the Fourth Proportional to 13,807.84, 19,054.92 and 7,520.26

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Solution

The fourth proportional to 13,807.84, 19,054.92 and 7,520.26 is: 10,378.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.84 : 19,054.92 = 7,520.26 : x
  2. Step 2: Convert to fraction form
    13,807.84/19,054.92 = 7,520.26/x
  3. Step 3: Cross multiply
    13,807.84x = 19,054.92 × 7,520.26
  4. Step 4: Simplify right side
    13,807.84x = 143,297,952.68
  5. Step 5: Solve for x
    x = 143,297,952.68/13,807.84
  6. Step 6: Final answer
    x = 10,378.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.