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Finding the Fourth Proportional to 23,492.14, 32,419.02 and 12,881.86

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Solution

The fourth proportional to 23,492.14, 32,419.02 and 12,881.86 is: 17,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.14 : 32,419.02 = 12,881.86 : x
  2. Step 2: Convert to fraction form
    23,492.14/32,419.02 = 12,881.86/x
  3. Step 3: Cross multiply
    23,492.14x = 32,419.02 × 12,881.86
  4. Step 4: Simplify right side
    23,492.14x = 417,617,276.98
  5. Step 5: Solve for x
    x = 417,617,276.98/23,492.14
  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.