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Finding the Fourth Proportional to 17,853.96, 24,639.60 and 10,301.67

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Solution

The fourth proportional to 17,853.96, 24,639.60 and 10,301.67 is: 14,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.96 : 24,639.60 = 10,301.67 : x
  2. Step 2: Convert to fraction form
    17,853.96/24,639.60 = 10,301.67/x
  3. Step 3: Cross multiply
    17,853.96x = 24,639.60 × 10,301.67
  4. Step 4: Simplify right side
    17,853.96x = 253,829,028.13
  5. Step 5: Solve for x
    x = 253,829,028.13/17,853.96
  6. Step 6: Final answer
    x = 14,216.96

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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.