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Finding the Fourth Proportional to 23,492.46, 32,420.25 and 12,882.81

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Solution

The fourth proportional to 23,492.46, 32,420.25 and 12,882.81 is: 17,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,492.46 : 32,420.25 = 12,882.81 : x
  2. Step 2: Convert to fraction form
    23,492.46/32,420.25 = 12,882.81/x
  3. Step 3: Cross multiply
    23,492.46x = 32,420.25 × 12,882.81
  4. Step 4: Simplify right side
    23,492.46x = 417,663,920.90
  5. Step 5: Solve for x
    x = 417,663,920.90/23,492.46
  6. Step 6: Final answer
    x = 17,778.64

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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.