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Finding the Fourth Proportional to 14,076.33, 19,427.95 and 9,046.84

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Solution

The fourth proportional to 14,076.33, 19,427.95 and 9,046.84 is: 12,486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,076.33 : 19,427.95 = 9,046.84 : x
  2. Step 2: Convert to fraction form
    14,076.33/19,427.95 = 9,046.84/x
  3. Step 3: Cross multiply
    14,076.33x = 19,427.95 × 9,046.84
  4. Step 4: Simplify right side
    14,076.33x = 175,761,555.18
  5. Step 5: Solve for x
    x = 175,761,555.18/14,076.33
  6. Step 6: Final answer
    x = 12,486.32

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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.