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Finding the Fourth Proportional to 23,663.27, 32,588.88 and 23,146.60

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Solution

The fourth proportional to 23,663.27, 32,588.88 and 23,146.60 is: 31,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.27 : 32,588.88 = 23,146.60 : x
  2. Step 2: Convert to fraction form
    23,663.27/32,588.88 = 23,146.60/x
  3. Step 3: Cross multiply
    23,663.27x = 32,588.88 × 23,146.60
  4. Step 4: Simplify right side
    23,663.27x = 754,321,688.34
  5. Step 5: Solve for x
    x = 754,321,688.34/23,663.27
  6. Step 6: Final answer
    x = 31,877.32

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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.