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Finding the Fourth Proportional to 17,659.48, 24,371.58 and 9,703.30

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Solution

The fourth proportional to 17,659.48, 24,371.58 and 9,703.30 is: 13,391.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,659.48 : 24,371.58 = 9,703.30 : x
  2. Step 2: Convert to fraction form
    17,659.48/24,371.58 = 9,703.30/x
  3. Step 3: Cross multiply
    17,659.48x = 24,371.58 × 9,703.30
  4. Step 4: Simplify right side
    17,659.48x = 236,484,752.21
  5. Step 5: Solve for x
    x = 236,484,752.21/17,659.48
  6. Step 6: Final answer
    x = 13,391.38

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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.