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Finding the Fourth Proportional to 14,076.83, 19,416.83 and 9,033.05

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Solution

The fourth proportional to 14,076.83, 19,416.83 and 9,033.05 is: 12,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.83 : 19,416.83 = 9,033.05 : x
  2. Step 2: Convert to fraction form
    14,076.83/19,416.83 = 9,033.05/x
  3. Step 3: Cross multiply
    14,076.83x = 19,416.83 × 9,033.05
  4. Step 4: Simplify right side
    14,076.83x = 175,393,053.98
  5. Step 5: Solve for x
    x = 175,393,053.98/14,076.83
  6. Step 6: Final answer
    x = 12,459.70

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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.