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Finding the Fourth Proportional to 17,461.51, 24,096.09 and 9,503.71

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Solution

The fourth proportional to 17,461.51, 24,096.09 and 9,503.71 is: 13,114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.51 : 24,096.09 = 9,503.71 : x
  2. Step 2: Convert to fraction form
    17,461.51/24,096.09 = 9,503.71/x
  3. Step 3: Cross multiply
    17,461.51x = 24,096.09 × 9,503.71
  4. Step 4: Simplify right side
    17,461.51x = 229,002,251.49
  5. Step 5: Solve for x
    x = 229,002,251.49/17,461.51
  6. Step 6: Final answer
    x = 13,114.69

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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.