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Finding the Fourth Proportional to 23,256.81, 32,095.71 and 12,646.22

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Solution

The fourth proportional to 23,256.81, 32,095.71 and 12,646.22 is: 17,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256.81 : 32,095.71 = 12,646.22 : x
  2. Step 2: Convert to fraction form
    23,256.81/32,095.71 = 12,646.22/x
  3. Step 3: Cross multiply
    23,256.81x = 32,095.71 × 12,646.22
  4. Step 4: Simplify right side
    23,256.81x = 405,889,249.24
  5. Step 5: Solve for x
    x = 405,889,249.24/23,256.81
  6. Step 6: Final answer
    x = 17,452.49

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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.