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Finding the Fourth Proportional to 17,464.80, 24,102.06 and 9,506.64

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Solution

The fourth proportional to 17,464.80, 24,102.06 and 9,506.64 is: 13,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.80 : 24,102.06 = 9,506.64 : x
  2. Step 2: Convert to fraction form
    17,464.80/24,102.06 = 9,506.64/x
  3. Step 3: Cross multiply
    17,464.80x = 24,102.06 × 9,506.64
  4. Step 4: Simplify right side
    17,464.80x = 229,129,607.68
  5. Step 5: Solve for x
    x = 229,129,607.68/17,464.80
  6. Step 6: Final answer
    x = 13,119.51

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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.