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Finding the Fourth Proportional to 14,435.14, 21,655.14 and 5,074.78

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Solution

The fourth proportional to 14,435.14, 21,655.14 and 5,074.78 is: 7,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.14 : 21,655.14 = 5,074.78 : x
  2. Step 2: Convert to fraction form
    14,435.14/21,655.14 = 5,074.78/x
  3. Step 3: Cross multiply
    14,435.14x = 21,655.14 × 5,074.78
  4. Step 4: Simplify right side
    14,435.14x = 109,895,071.37
  5. Step 5: Solve for x
    x = 109,895,071.37/14,435.14
  6. Step 6: Final answer
    x = 7,613.02

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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.