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Finding the Fourth Proportional to 24,097.77, 33,255.09 and 14,032.08

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Solution

The fourth proportional to 24,097.77, 33,255.09 and 14,032.08 is: 19,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.77 : 33,255.09 = 14,032.08 : x
  2. Step 2: Convert to fraction form
    24,097.77/33,255.09 = 14,032.08/x
  3. Step 3: Cross multiply
    24,097.77x = 33,255.09 × 14,032.08
  4. Step 4: Simplify right side
    24,097.77x = 466,638,083.29
  5. Step 5: Solve for x
    x = 466,638,083.29/24,097.77
  6. Step 6: Final answer
    x = 19,364.37

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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.