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Finding the Fourth Proportional to 14,064.34, 19,408.17 and 7,776.58

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Solution

The fourth proportional to 14,064.34, 19,408.17 and 7,776.58 is: 10,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.34 : 19,408.17 = 7,776.58 : x
  2. Step 2: Convert to fraction form
    14,064.34/19,408.17 = 7,776.58/x
  3. Step 3: Cross multiply
    14,064.34x = 19,408.17 × 7,776.58
  4. Step 4: Simplify right side
    14,064.34x = 150,929,186.66
  5. Step 5: Solve for x
    x = 150,929,186.66/14,064.34
  6. Step 6: Final answer
    x = 10,731.34

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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.