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Finding the Fourth Proportional to 14,412.89, 19,892.51 and 8,125.26

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Solution

The fourth proportional to 14,412.89, 19,892.51 and 8,125.26 is: 11,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,412.89 : 19,892.51 = 8,125.26 : x
  2. Step 2: Convert to fraction form
    14,412.89/19,892.51 = 8,125.26/x
  3. Step 3: Cross multiply
    14,412.89x = 19,892.51 × 8,125.26
  4. Step 4: Simplify right side
    14,412.89x = 161,631,775.18
  5. Step 5: Solve for x
    x = 161,631,775.18/14,412.89
  6. Step 6: Final answer
    x = 11,214.39

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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.