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Finding the Fourth Proportional to 17,847, 24,629.40 and 9,888.48

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Solution

The fourth proportional to 17,847, 24,629.40 and 9,888.48 is: 13,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847 : 24,629.40 = 9,888.48 : x
  2. Step 2: Convert to fraction form
    17,847/24,629.40 = 9,888.48/x
  3. Step 3: Cross multiply
    17,847x = 24,629.40 × 9,888.48
  4. Step 4: Simplify right side
    17,847x = 243,547,329.31
  5. Step 5: Solve for x
    x = 243,547,329.31/17,847
  6. Step 6: Final answer
    x = 13,646.40

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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.