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Finding the Fourth Proportional to 23,492.30, 32,419.14 and 12,881.90

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Solution

The fourth proportional to 23,492.30, 32,419.14 and 12,881.90 is: 17,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.30 : 32,419.14 = 12,881.90 : x
  2. Step 2: Convert to fraction form
    23,492.30/32,419.14 = 12,881.90/x
  3. Step 3: Cross multiply
    23,492.30x = 32,419.14 × 12,881.90
  4. Step 4: Simplify right side
    23,492.30x = 417,620,119.57
  5. Step 5: Solve for x
    x = 417,620,119.57/23,492.30
  6. Step 6: Final answer
    x = 17,776.89

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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.