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Finding the Fourth Proportional to 13,846.64, 19,108.25 and 7,559.01

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Solution

The fourth proportional to 13,846.64, 19,108.25 and 7,559.01 is: 10,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.64 : 19,108.25 = 7,559.01 : x
  2. Step 2: Convert to fraction form
    13,846.64/19,108.25 = 7,559.01/x
  3. Step 3: Cross multiply
    13,846.64x = 19,108.25 × 7,559.01
  4. Step 4: Simplify right side
    13,846.64x = 144,439,415.04
  5. Step 5: Solve for x
    x = 144,439,415.04/13,846.64
  6. Step 6: Final answer
    x = 10,431.37

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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.