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Finding the Fourth Proportional to 14,306.10, 21,437.22 and 6,505.80

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Solution

The fourth proportional to 14,306.10, 21,437.22 and 6,505.80 is: 9,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.10 : 21,437.22 = 6,505.80 : x
  2. Step 2: Convert to fraction form
    14,306.10/21,437.22 = 6,505.80/x
  3. Step 3: Cross multiply
    14,306.10x = 21,437.22 × 6,505.80
  4. Step 4: Simplify right side
    14,306.10x = 139,466,265.88
  5. Step 5: Solve for x
    x = 139,466,265.88/14,306.10
  6. Step 6: Final answer
    x = 9,748.73

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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.