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Finding the Fourth Proportional to 17,497.75, 24,147.86 and 10,046.23

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Solution

The fourth proportional to 17,497.75, 24,147.86 and 10,046.23 is: 13,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,497.75 : 24,147.86 = 10,046.23 : x
  2. Step 2: Convert to fraction form
    17,497.75/24,147.86 = 10,046.23/x
  3. Step 3: Cross multiply
    17,497.75x = 24,147.86 × 10,046.23
  4. Step 4: Simplify right side
    17,497.75x = 242,594,955.57
  5. Step 5: Solve for x
    x = 242,594,955.57/17,497.75
  6. Step 6: Final answer
    x = 13,864.35

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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.