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Finding the Fourth Proportional to 17,851.37, 24,636.35 and 9,896.16

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Solution

The fourth proportional to 17,851.37, 24,636.35 and 9,896.16 is: 13,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.37 : 24,636.35 = 9,896.16 : x
  2. Step 2: Convert to fraction form
    17,851.37/24,636.35 = 9,896.16/x
  3. Step 3: Cross multiply
    17,851.37x = 24,636.35 × 9,896.16
  4. Step 4: Simplify right side
    17,851.37x = 243,805,088.75
  5. Step 5: Solve for x
    x = 243,805,088.75/17,851.37
  6. Step 6: Final answer
    x = 13,657.50

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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.