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Finding the Fourth Proportional to 17,670.16, 24,383.64 and 9,712

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Solution

The fourth proportional to 17,670.16, 24,383.64 and 9,712 is: 13,401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.16 : 24,383.64 = 9,712 : x
  2. Step 2: Convert to fraction form
    17,670.16/24,383.64 = 9,712/x
  3. Step 3: Cross multiply
    17,670.16x = 24,383.64 × 9,712
  4. Step 4: Simplify right side
    17,670.16x = 236,813,911.68
  5. Step 5: Solve for x
    x = 236,813,911.68/17,670.16
  6. Step 6: Final answer
    x = 13,401.91

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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.