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Finding the Fourth Proportional to 17,670.29, 24,383.81 and 9,712.13

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Solution

The fourth proportional to 17,670.29, 24,383.81 and 9,712.13 is: 13,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.29 : 24,383.81 = 9,712.13 : x
  2. Step 2: Convert to fraction form
    17,670.29/24,383.81 = 9,712.13/x
  3. Step 3: Cross multiply
    17,670.29x = 24,383.81 × 9,712.13
  4. Step 4: Simplify right side
    17,670.29x = 236,818,634.98
  5. Step 5: Solve for x
    x = 236,818,634.98/17,670.29
  6. Step 6: Final answer
    x = 13,402.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.