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Finding the Fourth Proportional to 17,547.46, 24,213.37 and 9,993.81

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Solution

The fourth proportional to 17,547.46, 24,213.37 and 9,993.81 is: 13,790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,547.46 : 24,213.37 = 9,993.81 : x
  2. Step 2: Convert to fraction form
    17,547.46/24,213.37 = 9,993.81/x
  3. Step 3: Cross multiply
    17,547.46x = 24,213.37 × 9,993.81
  4. Step 4: Simplify right side
    17,547.46x = 241,983,819.24
  5. Step 5: Solve for x
    x = 241,983,819.24/17,547.46
  6. Step 6: Final answer
    x = 13,790.25

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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.