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Finding the Fourth Proportional to 14,104.02, 19,464 and 8,135.94

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Solution

The fourth proportional to 14,104.02, 19,464 and 8,135.94 is: 11,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.02 : 19,464 = 8,135.94 : x
  2. Step 2: Convert to fraction form
    14,104.02/19,464 = 8,135.94/x
  3. Step 3: Cross multiply
    14,104.02x = 19,464 × 8,135.94
  4. Step 4: Simplify right side
    14,104.02x = 158,357,936.16
  5. Step 5: Solve for x
    x = 158,357,936.16/14,104.02
  6. Step 6: Final answer
    x = 11,227.86

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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.