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Finding the Fourth Proportional to 23,296.64, 32,146.92 and 13,606.40

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Solution

The fourth proportional to 23,296.64, 32,146.92 and 13,606.40 is: 18,775.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.64 : 32,146.92 = 13,606.40 : x
  2. Step 2: Convert to fraction form
    23,296.64/32,146.92 = 13,606.40/x
  3. Step 3: Cross multiply
    23,296.64x = 32,146.92 × 13,606.40
  4. Step 4: Simplify right side
    23,296.64x = 437,403,852.29
  5. Step 5: Solve for x
    x = 437,403,852.29/23,296.64
  6. Step 6: Final answer
    x = 18,775.41

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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.