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Finding the Fourth Proportional to 16,806.42, 25,225.20 and 8,492.30

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Solution

The fourth proportional to 16,806.42, 25,225.20 and 8,492.30 is: 12,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.42 : 25,225.20 = 8,492.30 : x
  2. Step 2: Convert to fraction form
    16,806.42/25,225.20 = 8,492.30/x
  3. Step 3: Cross multiply
    16,806.42x = 25,225.20 × 8,492.30
  4. Step 4: Simplify right side
    16,806.42x = 214,219,965.96
  5. Step 5: Solve for x
    x = 214,219,965.96/16,806.42
  6. Step 6: Final answer
    x = 12,746.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.