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Finding the Fourth Proportional to 17,416.64, 24,034.32 and 9,458.69

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Solution

The fourth proportional to 17,416.64, 24,034.32 and 9,458.69 is: 13,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.64 : 24,034.32 = 9,458.69 : x
  2. Step 2: Convert to fraction form
    17,416.64/24,034.32 = 9,458.69/x
  3. Step 3: Cross multiply
    17,416.64x = 24,034.32 × 9,458.69
  4. Step 4: Simplify right side
    17,416.64x = 227,333,062.07
  5. Step 5: Solve for x
    x = 227,333,062.07/17,416.64
  6. Step 6: Final answer
    x = 13,052.64

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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.