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Finding the Fourth Proportional to 14,024.86, 19,356.41 and 8,994.76

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Solution

The fourth proportional to 14,024.86, 19,356.41 and 8,994.76 is: 12,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.86 : 19,356.41 = 8,994.76 : x
  2. Step 2: Convert to fraction form
    14,024.86/19,356.41 = 8,994.76/x
  3. Step 3: Cross multiply
    14,024.86x = 19,356.41 × 8,994.76
  4. Step 4: Simplify right side
    14,024.86x = 174,106,262.41
  5. Step 5: Solve for x
    x = 174,106,262.41/14,024.86
  6. Step 6: Final answer
    x = 12,414.12

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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.