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Finding the Fourth Proportional to 14,374.29, 19,836.38 and 8,000.78

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Solution

The fourth proportional to 14,374.29, 19,836.38 and 8,000.78 is: 11,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,374.29 : 19,836.38 = 8,000.78 : x
  2. Step 2: Convert to fraction form
    14,374.29/19,836.38 = 8,000.78/x
  3. Step 3: Cross multiply
    14,374.29x = 19,836.38 × 8,000.78
  4. Step 4: Simplify right side
    14,374.29x = 158,706,589.31
  5. Step 5: Solve for x
    x = 158,706,589.31/14,374.29
  6. Step 6: Final answer
    x = 11,041.00

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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.