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Finding the Fourth Proportional to 14,077.50, 19,426.95 and 7,790.82

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Solution

The fourth proportional to 14,077.50, 19,426.95 and 7,790.82 is: 10,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.50 : 19,426.95 = 7,790.82 : x
  2. Step 2: Convert to fraction form
    14,077.50/19,426.95 = 7,790.82/x
  3. Step 3: Cross multiply
    14,077.50x = 19,426.95 × 7,790.82
  4. Step 4: Simplify right side
    14,077.50x = 151,351,870.60
  5. Step 5: Solve for x
    x = 151,351,870.60/14,077.50
  6. Step 6: Final answer
    x = 10,751.33

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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.