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Finding the Fourth Proportional to 17,670.24, 26,502.48 and 5,983.20

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Solution

The fourth proportional to 17,670.24, 26,502.48 and 5,983.20 is: 8,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.24 : 26,502.48 = 5,983.20 : x
  2. Step 2: Convert to fraction form
    17,670.24/26,502.48 = 5,983.20/x
  3. Step 3: Cross multiply
    17,670.24x = 26,502.48 × 5,983.20
  4. Step 4: Simplify right side
    17,670.24x = 158,569,638.34
  5. Step 5: Solve for x
    x = 158,569,638.34/17,670.24
  6. Step 6: Final answer
    x = 8,973.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.