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Finding the Fourth Proportional to 17,742, 24,484.13 and 9,784.49

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Solution

The fourth proportional to 17,742, 24,484.13 and 9,784.49 is: 13,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,742 : 24,484.13 = 9,784.49 : x
  2. Step 2: Convert to fraction form
    17,742/24,484.13 = 9,784.49/x
  3. Step 3: Cross multiply
    17,742x = 24,484.13 × 9,784.49
  4. Step 4: Simplify right side
    17,742x = 239,564,725.14
  5. Step 5: Solve for x
    x = 239,564,725.14/17,742
  6. Step 6: Final answer
    x = 13,502.69

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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.