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Finding the Fourth Proportional to 14,171.54, 21,261.42 and 5,407.16

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Solution

The fourth proportional to 14,171.54, 21,261.42 and 5,407.16 is: 8,112.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,171.54 : 21,261.42 = 5,407.16 : x
  2. Step 2: Convert to fraction form
    14,171.54/21,261.42 = 5,407.16/x
  3. Step 3: Cross multiply
    14,171.54x = 21,261.42 × 5,407.16
  4. Step 4: Simplify right side
    14,171.54x = 114,963,899.77
  5. Step 5: Solve for x
    x = 114,963,899.77/14,171.54
  6. Step 6: Final answer
    x = 8,112.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.