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Finding the Fourth Proportional to 14,118.94, 19,484.69 and 7,745.77

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Solution

The fourth proportional to 14,118.94, 19,484.69 and 7,745.77 is: 10,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.94 : 19,484.69 = 7,745.77 : x
  2. Step 2: Convert to fraction form
    14,118.94/19,484.69 = 7,745.77/x
  3. Step 3: Cross multiply
    14,118.94x = 19,484.69 × 7,745.77
  4. Step 4: Simplify right side
    14,118.94x = 150,923,897.91
  5. Step 5: Solve for x
    x = 150,923,897.91/14,118.94
  6. Step 6: Final answer
    x = 10,689.47

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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.