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Finding the Fourth Proportional to 14,049.94, 19,390.26 and 7,677.50

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Solution

The fourth proportional to 14,049.94, 19,390.26 and 7,677.50 is: 10,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049.94 : 19,390.26 = 7,677.50 : x
  2. Step 2: Convert to fraction form
    14,049.94/19,390.26 = 7,677.50/x
  3. Step 3: Cross multiply
    14,049.94x = 19,390.26 × 7,677.50
  4. Step 4: Simplify right side
    14,049.94x = 148,868,721.15
  5. Step 5: Solve for x
    x = 148,868,721.15/14,049.94
  6. Step 6: Final answer
    x = 10,595.68

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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.