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Finding the Fourth Proportional to 14,064.45, 19,408.14 and 7,776.42

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Solution

The fourth proportional to 14,064.45, 19,408.14 and 7,776.42 is: 10,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.45 : 19,408.14 = 7,776.42 : x
  2. Step 2: Convert to fraction form
    14,064.45/19,408.14 = 7,776.42/x
  3. Step 3: Cross multiply
    14,064.45x = 19,408.14 × 7,776.42
  4. Step 4: Simplify right side
    14,064.45x = 150,925,848.06
  5. Step 5: Solve for x
    x = 150,925,848.06/14,064.45
  6. Step 6: Final answer
    x = 10,731.02

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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.