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Finding the Fourth Proportional to 22,822.09, 31,495.13 and 12,751.64

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Solution

The fourth proportional to 22,822.09, 31,495.13 and 12,751.64 is: 17,597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.09 : 31,495.13 = 12,751.64 : x
  2. Step 2: Convert to fraction form
    22,822.09/31,495.13 = 12,751.64/x
  3. Step 3: Cross multiply
    22,822.09x = 31,495.13 × 12,751.64
  4. Step 4: Simplify right side
    22,822.09x = 401,614,559.51
  5. Step 5: Solve for x
    x = 401,614,559.51/22,822.09
  6. Step 6: Final answer
    x = 17,597.62

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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.