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Finding the Fourth Proportional to 17,838.23, 24,617.19 and 9,772.32

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Solution

The fourth proportional to 17,838.23, 24,617.19 and 9,772.32 is: 13,486.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,838.23 : 24,617.19 = 9,772.32 : x
  2. Step 2: Convert to fraction form
    17,838.23/24,617.19 = 9,772.32/x
  3. Step 3: Cross multiply
    17,838.23x = 24,617.19 × 9,772.32
  4. Step 4: Simplify right side
    17,838.23x = 240,567,090.42
  5. Step 5: Solve for x
    x = 240,567,090.42/17,838.23
  6. Step 6: Final answer
    x = 13,486.04

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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.