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Finding the Fourth Proportional to 17,378.65, 23,981.07 and 9,825.67

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Solution

The fourth proportional to 17,378.65, 23,981.07 and 9,825.67 is: 13,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.65 : 23,981.07 = 9,825.67 : x
  2. Step 2: Convert to fraction form
    17,378.65/23,981.07 = 9,825.67/x
  3. Step 3: Cross multiply
    17,378.65x = 23,981.07 × 9,825.67
  4. Step 4: Simplify right side
    17,378.65x = 235,630,080.07
  5. Step 5: Solve for x
    x = 235,630,080.07/17,378.65
  6. Step 6: Final answer
    x = 13,558.60

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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.