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Finding the Fourth Proportional to 12,796.32, 17,661.16 and 9,582.24

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Solution

The fourth proportional to 12,796.32, 17,661.16 and 9,582.24 is: 13,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,796.32 : 17,661.16 = 9,582.24 : x
  2. Step 2: Convert to fraction form
    12,796.32/17,661.16 = 9,582.24/x
  3. Step 3: Cross multiply
    12,796.32x = 17,661.16 × 9,582.24
  4. Step 4: Simplify right side
    12,796.32x = 169,233,473.80
  5. Step 5: Solve for x
    x = 169,233,473.80/12,796.32
  6. Step 6: Final answer
    x = 13,225.17

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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.