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Finding the Fourth Proportional to 23,261, 32,100.02 and 12,650.60

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Solution

The fourth proportional to 23,261, 32,100.02 and 12,650.60 is: 17,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,261 : 32,100.02 = 12,650.60 : x
  2. Step 2: Convert to fraction form
    23,261/32,100.02 = 12,650.60/x
  3. Step 3: Cross multiply
    23,261x = 32,100.02 × 12,650.60
  4. Step 4: Simplify right side
    23,261x = 406,084,513.01
  5. Step 5: Solve for x
    x = 406,084,513.01/23,261
  6. Step 6: Final answer
    x = 17,457.74

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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.