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Finding the Fourth Proportional to 14,223.76, 19,628.52 and 7,850.95

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Solution

The fourth proportional to 14,223.76, 19,628.52 and 7,850.95 is: 10,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.76 : 19,628.52 = 7,850.95 : x
  2. Step 2: Convert to fraction form
    14,223.76/19,628.52 = 7,850.95/x
  3. Step 3: Cross multiply
    14,223.76x = 19,628.52 × 7,850.95
  4. Step 4: Simplify right side
    14,223.76x = 154,102,529.09
  5. Step 5: Solve for x
    x = 154,102,529.09/14,223.76
  6. Step 6: Final answer
    x = 10,834.16

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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.