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Finding the Fourth Proportional to 13,846.42, 19,108.02 and 7,558.84

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Solution

The fourth proportional to 13,846.42, 19,108.02 and 7,558.84 is: 10,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.42 : 19,108.02 = 7,558.84 : x
  2. Step 2: Convert to fraction form
    13,846.42/19,108.02 = 7,558.84/x
  3. Step 3: Cross multiply
    13,846.42x = 19,108.02 × 7,558.84
  4. Step 4: Simplify right side
    13,846.42x = 144,434,465.90
  5. Step 5: Solve for x
    x = 144,434,465.90/13,846.42
  6. Step 6: Final answer
    x = 10,431.18

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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.