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Finding the Fourth Proportional to 14,085.41, 19,435.50 and 8,422.47

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Solution

The fourth proportional to 14,085.41, 19,435.50 and 8,422.47 is: 11,621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.41 : 19,435.50 = 8,422.47 : x
  2. Step 2: Convert to fraction form
    14,085.41/19,435.50 = 8,422.47/x
  3. Step 3: Cross multiply
    14,085.41x = 19,435.50 × 8,422.47
  4. Step 4: Simplify right side
    14,085.41x = 163,694,915.69
  5. Step 5: Solve for x
    x = 163,694,915.69/14,085.41
  6. Step 6: Final answer
    x = 11,621.60

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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.