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Finding the Fourth Proportional to 17,847.10, 24,627.65 and 9,889.16

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Solution

The fourth proportional to 17,847.10, 24,627.65 and 9,889.16 is: 13,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.10 : 24,627.65 = 9,889.16 : x
  2. Step 2: Convert to fraction form
    17,847.10/24,627.65 = 9,889.16/x
  3. Step 3: Cross multiply
    17,847.10x = 24,627.65 × 9,889.16
  4. Step 4: Simplify right side
    17,847.10x = 243,546,598.69
  5. Step 5: Solve for x
    x = 243,546,598.69/17,847.10
  6. Step 6: Final answer
    x = 13,646.28

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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.