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Finding the Fourth Proportional to 17,669.72, 24,384.84 and 9,712.28

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Solution

The fourth proportional to 17,669.72, 24,384.84 and 9,712.28 is: 13,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.72 : 24,384.84 = 9,712.28 : x
  2. Step 2: Convert to fraction form
    17,669.72/24,384.84 = 9,712.28/x
  3. Step 3: Cross multiply
    17,669.72x = 24,384.84 × 9,712.28
  4. Step 4: Simplify right side
    17,669.72x = 236,832,393.84
  5. Step 5: Solve for x
    x = 236,832,393.84/17,669.72
  6. Step 6: Final answer
    x = 13,403.29

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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.