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Finding the Fourth Proportional to 14,254.63, 19,671.99 and 7,967

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Solution

The fourth proportional to 14,254.63, 19,671.99 and 7,967 is: 10,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.63 : 19,671.99 = 7,967 : x
  2. Step 2: Convert to fraction form
    14,254.63/19,671.99 = 7,967/x
  3. Step 3: Cross multiply
    14,254.63x = 19,671.99 × 7,967
  4. Step 4: Simplify right side
    14,254.63x = 156,726,744.33
  5. Step 5: Solve for x
    x = 156,726,744.33/14,254.63
  6. Step 6: Final answer
    x = 10,994.80

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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.