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Finding the Fourth Proportional to 14,063.63, 19,408.41 and 7,776

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Solution

The fourth proportional to 14,063.63, 19,408.41 and 7,776 is: 10,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,063.63 : 19,408.41 = 7,776 : x
  2. Step 2: Convert to fraction form
    14,063.63/19,408.41 = 7,776/x
  3. Step 3: Cross multiply
    14,063.63x = 19,408.41 × 7,776
  4. Step 4: Simplify right side
    14,063.63x = 150,919,796.16
  5. Step 5: Solve for x
    x = 150,919,796.16/14,063.63
  6. Step 6: Final answer
    x = 10,731.22

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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.