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Finding the Fourth Proportional to 13,492.98, 20,211.57 and 12,508.74

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Solution

The fourth proportional to 13,492.98, 20,211.57 and 12,508.74 is: 18,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.98 : 20,211.57 = 12,508.74 : x
  2. Step 2: Convert to fraction form
    13,492.98/20,211.57 = 12,508.74/x
  3. Step 3: Cross multiply
    13,492.98x = 20,211.57 × 12,508.74
  4. Step 4: Simplify right side
    13,492.98x = 252,821,274.12
  5. Step 5: Solve for x
    x = 252,821,274.12/13,492.98
  6. Step 6: Final answer
    x = 18,737.25

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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.