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Finding the Fourth Proportional to 14,254.86, 19,671.72 and 7,967.22

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Solution

The fourth proportional to 14,254.86, 19,671.72 and 7,967.22 is: 10,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.86 : 19,671.72 = 7,967.22 : x
  2. Step 2: Convert to fraction form
    14,254.86/19,671.72 = 7,967.22/x
  3. Step 3: Cross multiply
    14,254.86x = 19,671.72 × 7,967.22
  4. Step 4: Simplify right side
    14,254.86x = 156,728,921.02
  5. Step 5: Solve for x
    x = 156,728,921.02/14,254.86
  6. Step 6: Final answer
    x = 10,994.77

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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.