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Finding the Fourth Proportional to 14,382.78, 19,844.35 and 8,415.91

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Solution

The fourth proportional to 14,382.78, 19,844.35 and 8,415.91 is: 11,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.78 : 19,844.35 = 8,415.91 : x
  2. Step 2: Convert to fraction form
    14,382.78/19,844.35 = 8,415.91/x
  3. Step 3: Cross multiply
    14,382.78x = 19,844.35 × 8,415.91
  4. Step 4: Simplify right side
    14,382.78x = 167,008,263.61
  5. Step 5: Solve for x
    x = 167,008,263.61/14,382.78
  6. Step 6: Final answer
    x = 11,611.68

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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.