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Finding the Fourth Proportional to 16,498.96, 22,745.52 and 13,971.04

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Solution

The fourth proportional to 16,498.96, 22,745.52 and 13,971.04 is: 19,260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.96 : 22,745.52 = 13,971.04 : x
  2. Step 2: Convert to fraction form
    16,498.96/22,745.52 = 13,971.04/x
  3. Step 3: Cross multiply
    16,498.96x = 22,745.52 × 13,971.04
  4. Step 4: Simplify right side
    16,498.96x = 317,778,569.74
  5. Step 5: Solve for x
    x = 317,778,569.74/16,498.96
  6. Step 6: Final answer
    x = 19,260.52

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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.