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Finding the Fourth Proportional to 14,094.09, 19,451.03 and 7,807.05

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Solution

The fourth proportional to 14,094.09, 19,451.03 and 7,807.05 is: 10,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,094.09 : 19,451.03 = 7,807.05 : x
  2. Step 2: Convert to fraction form
    14,094.09/19,451.03 = 7,807.05/x
  3. Step 3: Cross multiply
    14,094.09x = 19,451.03 × 7,807.05
  4. Step 4: Simplify right side
    14,094.09x = 151,855,124.73
  5. Step 5: Solve for x
    x = 151,855,124.73/14,094.09
  6. Step 6: Final answer
    x = 10,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.