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Finding the Fourth Proportional to 17,968.32, 24,796.53 and 10,415.16

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Solution

The fourth proportional to 17,968.32, 24,796.53 and 10,415.16 is: 14,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,968.32 : 24,796.53 = 10,415.16 : x
  2. Step 2: Convert to fraction form
    17,968.32/24,796.53 = 10,415.16/x
  3. Step 3: Cross multiply
    17,968.32x = 24,796.53 × 10,415.16
  4. Step 4: Simplify right side
    17,968.32x = 258,259,827.39
  5. Step 5: Solve for x
    x = 258,259,827.39/17,968.32
  6. Step 6: Final answer
    x = 14,373.06

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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.