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Finding the Fourth Proportional to 13,846.58, 19,108.17 and 7,558.95

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Solution

The fourth proportional to 13,846.58, 19,108.17 and 7,558.95 is: 10,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.58 : 19,108.17 = 7,558.95 : x
  2. Step 2: Convert to fraction form
    13,846.58/19,108.17 = 7,558.95/x
  3. Step 3: Cross multiply
    13,846.58x = 19,108.17 × 7,558.95
  4. Step 4: Simplify right side
    13,846.58x = 144,437,701.62
  5. Step 5: Solve for x
    x = 144,437,701.62/13,846.58
  6. Step 6: Final answer
    x = 10,431.29

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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.