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Finding the Fourth Proportional to 17,852, 24,635.40 and 9,894.16

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Solution

The fourth proportional to 17,852, 24,635.40 and 9,894.16 is: 13,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852 : 24,635.40 = 9,894.16 : x
  2. Step 2: Convert to fraction form
    17,852/24,635.40 = 9,894.16/x
  3. Step 3: Cross multiply
    17,852x = 24,635.40 × 9,894.16
  4. Step 4: Simplify right side
    17,852x = 243,746,589.26
  5. Step 5: Solve for x
    x = 243,746,589.26/17,852
  6. Step 6: Final answer
    x = 13,653.74

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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.