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Finding the Fourth Proportional to 17,378.64, 23,978.46 and 9,824.56

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Solution

The fourth proportional to 17,378.64, 23,978.46 and 9,824.56 is: 13,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,378.64 : 23,978.46 = 9,824.56 : x
  2. Step 2: Convert to fraction form
    17,378.64/23,978.46 = 9,824.56/x
  3. Step 3: Cross multiply
    17,378.64x = 23,978.46 × 9,824.56
  4. Step 4: Simplify right side
    17,378.64x = 235,577,818.98
  5. Step 5: Solve for x
    x = 235,577,818.98/17,378.64
  6. Step 6: Final answer
    x = 13,555.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.