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Finding the Fourth Proportional to 14,140.70, 21,211.05 and 7,214.30

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Solution

The fourth proportional to 14,140.70, 21,211.05 and 7,214.30 is: 10,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.70 : 21,211.05 = 7,214.30 : x
  2. Step 2: Convert to fraction form
    14,140.70/21,211.05 = 7,214.30/x
  3. Step 3: Cross multiply
    14,140.70x = 21,211.05 × 7,214.30
  4. Step 4: Simplify right side
    14,140.70x = 153,022,878.02
  5. Step 5: Solve for x
    x = 153,022,878.02/14,140.70
  6. Step 6: Final answer
    x = 10,821.45

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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.