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Finding the Fourth Proportional to 14,094.77, 19,451.41 and 7,807.14

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Solution

The fourth proportional to 14,094.77, 19,451.41 and 7,807.14 is: 10,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.77 : 19,451.41 = 7,807.14 : x
  2. Step 2: Convert to fraction form
    14,094.77/19,451.41 = 7,807.14/x
  3. Step 3: Cross multiply
    14,094.77x = 19,451.41 × 7,807.14
  4. Step 4: Simplify right side
    14,094.77x = 151,859,861.55
  5. Step 5: Solve for x
    x = 151,859,861.55/14,094.77
  6. Step 6: Final answer
    x = 10,774.20

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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.