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Finding the Fourth Proportional to 14,113.98, 19,478.07 and 7,826.22

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Solution

The fourth proportional to 14,113.98, 19,478.07 and 7,826.22 is: 10,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.98 : 19,478.07 = 7,826.22 : x
  2. Step 2: Convert to fraction form
    14,113.98/19,478.07 = 7,826.22/x
  3. Step 3: Cross multiply
    14,113.98x = 19,478.07 × 7,826.22
  4. Step 4: Simplify right side
    14,113.98x = 152,439,661.00
  5. Step 5: Solve for x
    x = 152,439,661.00/14,113.98
  6. Step 6: Final answer
    x = 10,800.61

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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.