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Finding the Fourth Proportional to 23,256.52, 32,093.77 and 12,646.16

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Solution

The fourth proportional to 23,256.52, 32,093.77 and 12,646.16 is: 17,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256.52 : 32,093.77 = 12,646.16 : x
  2. Step 2: Convert to fraction form
    23,256.52/32,093.77 = 12,646.16/x
  3. Step 3: Cross multiply
    23,256.52x = 32,093.77 × 12,646.16
  4. Step 4: Simplify right side
    23,256.52x = 405,862,950.42
  5. Step 5: Solve for x
    x = 405,862,950.42/23,256.52
  6. Step 6: Final answer
    x = 17,451.58

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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.