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Finding the Fourth Proportional to 13,846.49, 19,108.13 and 7,558.86

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Solution

The fourth proportional to 13,846.49, 19,108.13 and 7,558.86 is: 10,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.49 : 19,108.13 = 7,558.86 : x
  2. Step 2: Convert to fraction form
    13,846.49/19,108.13 = 7,558.86/x
  3. Step 3: Cross multiply
    13,846.49x = 19,108.13 × 7,558.86
  4. Step 4: Simplify right side
    13,846.49x = 144,435,641.74
  5. Step 5: Solve for x
    x = 144,435,641.74/13,846.49
  6. Step 6: Final answer
    x = 10,431.21

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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.