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Finding the Fourth Proportional to 17,578.56, 24,261.60 and 10,509.12

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Solution

The fourth proportional to 17,578.56, 24,261.60 and 10,509.12 is: 14,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.56 : 24,261.60 = 10,509.12 : x
  2. Step 2: Convert to fraction form
    17,578.56/24,261.60 = 10,509.12/x
  3. Step 3: Cross multiply
    17,578.56x = 24,261.60 × 10,509.12
  4. Step 4: Simplify right side
    17,578.56x = 254,968,065.79
  5. Step 5: Solve for x
    x = 254,968,065.79/17,578.56
  6. Step 6: Final answer
    x = 14,504.49

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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.