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Finding the Fourth Proportional to 17,852.63, 24,636.62 and 9,896.05

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Solution

The fourth proportional to 17,852.63, 24,636.62 and 9,896.05 is: 13,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.63 : 24,636.62 = 9,896.05 : x
  2. Step 2: Convert to fraction form
    17,852.63/24,636.62 = 9,896.05/x
  3. Step 3: Cross multiply
    17,852.63x = 24,636.62 × 9,896.05
  4. Step 4: Simplify right side
    17,852.63x = 243,805,278.89
  5. Step 5: Solve for x
    x = 243,805,278.89/17,852.63
  6. Step 6: Final answer
    x = 13,656.55

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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.