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Finding the Fourth Proportional to 23,256.78, 32,094.14 and 12,646.50

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Solution

The fourth proportional to 23,256.78, 32,094.14 and 12,646.50 is: 17,452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,256.78 : 32,094.14 = 12,646.50 : x
  2. Step 2: Convert to fraction form
    23,256.78/32,094.14 = 12,646.50/x
  3. Step 3: Cross multiply
    23,256.78x = 32,094.14 × 12,646.50
  4. Step 4: Simplify right side
    23,256.78x = 405,878,478.28
  5. Step 5: Solve for x
    x = 405,878,478.28/23,256.78
  6. Step 6: Final answer
    x = 17,452.05

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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.