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Finding the Fourth Proportional to 17,742.69, 24,485.04 and 9,785.16

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Solution

The fourth proportional to 17,742.69, 24,485.04 and 9,785.16 is: 13,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742.69 : 24,485.04 = 9,785.16 : x
  2. Step 2: Convert to fraction form
    17,742.69/24,485.04 = 9,785.16/x
  3. Step 3: Cross multiply
    17,742.69x = 24,485.04 × 9,785.16
  4. Step 4: Simplify right side
    17,742.69x = 239,590,034.01
  5. Step 5: Solve for x
    x = 239,590,034.01/17,742.69
  6. Step 6: Final answer
    x = 13,503.59

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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.