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Finding the Fourth Proportional to 14,064.21, 19,408.59 and 7,776.59

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Solution

The fourth proportional to 14,064.21, 19,408.59 and 7,776.59 is: 10,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.21 : 19,408.59 = 7,776.59 : x
  2. Step 2: Convert to fraction form
    14,064.21/19,408.59 = 7,776.59/x
  3. Step 3: Cross multiply
    14,064.21x = 19,408.59 × 7,776.59
  4. Step 4: Simplify right side
    14,064.21x = 150,932,549.87
  5. Step 5: Solve for x
    x = 150,932,549.87/14,064.21
  6. Step 6: Final answer
    x = 10,731.68

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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.