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Finding the Fourth Proportional to 23,492.32, 32,419.73 and 12,881.94

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Solution

The fourth proportional to 23,492.32, 32,419.73 and 12,881.94 is: 17,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.32 : 32,419.73 = 12,881.94 : x
  2. Step 2: Convert to fraction form
    23,492.32/32,419.73 = 12,881.94/x
  3. Step 3: Cross multiply
    23,492.32x = 32,419.73 × 12,881.94
  4. Step 4: Simplify right side
    23,492.32x = 417,629,016.68
  5. Step 5: Solve for x
    x = 417,629,016.68/23,492.32
  6. Step 6: Final answer
    x = 17,777.26

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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.