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Finding the Fourth Proportional to 17,465.46, 24,102.44 and 9,507.68

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Solution

The fourth proportional to 17,465.46, 24,102.44 and 9,507.68 is: 13,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,465.46 : 24,102.44 = 9,507.68 : x
  2. Step 2: Convert to fraction form
    17,465.46/24,102.44 = 9,507.68/x
  3. Step 3: Cross multiply
    17,465.46x = 24,102.44 × 9,507.68
  4. Step 4: Simplify right side
    17,465.46x = 229,158,166.23
  5. Step 5: Solve for x
    x = 229,158,166.23/17,465.46
  6. Step 6: Final answer
    x = 13,120.65

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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.