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Finding the Fourth Proportional to 14,113.92, 19,477.32 and 7,826.28

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Solution

The fourth proportional to 14,113.92, 19,477.32 and 7,826.28 is: 10,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.92 : 19,477.32 = 7,826.28 : x
  2. Step 2: Convert to fraction form
    14,113.92/19,477.32 = 7,826.28/x
  3. Step 3: Cross multiply
    14,113.92x = 19,477.32 × 7,826.28
  4. Step 4: Simplify right side
    14,113.92x = 152,434,959.97
  5. Step 5: Solve for x
    x = 152,434,959.97/14,113.92
  6. Step 6: Final answer
    x = 10,800.33

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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.