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Finding the Fourth Proportional to 14,113.94, 19,477.14 and 7,826.30

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Solution

The fourth proportional to 14,113.94, 19,477.14 and 7,826.30 is: 10,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.94 : 19,477.14 = 7,826.30 : x
  2. Step 2: Convert to fraction form
    14,113.94/19,477.14 = 7,826.30/x
  3. Step 3: Cross multiply
    14,113.94x = 19,477.14 × 7,826.30
  4. Step 4: Simplify right side
    14,113.94x = 152,433,940.78
  5. Step 5: Solve for x
    x = 152,433,940.78/14,113.94
  6. Step 6: Final answer
    x = 10,800.24

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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.