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Finding the Fourth Proportional to 23,256.56, 32,094.04 and 12,646.16

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Solution

The fourth proportional to 23,256.56, 32,094.04 and 12,646.16 is: 17,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256.56 : 32,094.04 = 12,646.16 : x
  2. Step 2: Convert to fraction form
    23,256.56/32,094.04 = 12,646.16/x
  3. Step 3: Cross multiply
    23,256.56x = 32,094.04 × 12,646.16
  4. Step 4: Simplify right side
    23,256.56x = 405,866,364.89
  5. Step 5: Solve for x
    x = 405,866,364.89/23,256.56
  6. Step 6: Final answer
    x = 17,451.69

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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.