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Finding the Fourth Proportional to 23,971.52, 33,083.51 and 14,416.28

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Solution

The fourth proportional to 23,971.52, 33,083.51 and 14,416.28 is: 19,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,971.52 : 33,083.51 = 14,416.28 : x
  2. Step 2: Convert to fraction form
    23,971.52/33,083.51 = 14,416.28/x
  3. Step 3: Cross multiply
    23,971.52x = 33,083.51 × 14,416.28
  4. Step 4: Simplify right side
    23,971.52x = 476,941,151.74
  5. Step 5: Solve for x
    x = 476,941,151.74/23,971.52
  6. Step 6: Final answer
    x = 19,896.16

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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.