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Finding the Fourth Proportional to 15,684.60, 23,528.52 and 8,297.40

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Solution

The fourth proportional to 15,684.60, 23,528.52 and 8,297.40 is: 12,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.60 : 23,528.52 = 8,297.40 : x
  2. Step 2: Convert to fraction form
    15,684.60/23,528.52 = 8,297.40/x
  3. Step 3: Cross multiply
    15,684.60x = 23,528.52 × 8,297.40
  4. Step 4: Simplify right side
    15,684.60x = 195,225,541.85
  5. Step 5: Solve for x
    x = 195,225,541.85/15,684.60
  6. Step 6: Final answer
    x = 12,446.96

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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.