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Finding the Fourth Proportional to 17,836, 24,615.36 and 10,282.48

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Solution

The fourth proportional to 17,836, 24,615.36 and 10,282.48 is: 14,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,836 : 24,615.36 = 10,282.48 : x
  2. Step 2: Convert to fraction form
    17,836/24,615.36 = 10,282.48/x
  3. Step 3: Cross multiply
    17,836x = 24,615.36 × 10,282.48
  4. Step 4: Simplify right side
    17,836x = 253,106,946.89
  5. Step 5: Solve for x
    x = 253,106,946.89/17,836
  6. Step 6: Final answer
    x = 14,190.79

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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.