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Finding the Fourth Proportional to 14,188.68, 21,269.08 and 5,297.50

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Solution

The fourth proportional to 14,188.68, 21,269.08 and 5,297.50 is: 7,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.68 : 21,269.08 = 5,297.50 : x
  2. Step 2: Convert to fraction form
    14,188.68/21,269.08 = 5,297.50/x
  3. Step 3: Cross multiply
    14,188.68x = 21,269.08 × 5,297.50
  4. Step 4: Simplify right side
    14,188.68x = 112,672,951.30
  5. Step 5: Solve for x
    x = 112,672,951.30/14,188.68
  6. Step 6: Final answer
    x = 7,941.05

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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.