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Finding the Fourth Proportional to 14,741.10, 20,308.11 and 10,257.15

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Solution

The fourth proportional to 14,741.10, 20,308.11 and 10,257.15 is: 14,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,741.10 : 20,308.11 = 10,257.15 : x
  2. Step 2: Convert to fraction form
    14,741.10/20,308.11 = 10,257.15/x
  3. Step 3: Cross multiply
    14,741.10x = 20,308.11 × 10,257.15
  4. Step 4: Simplify right side
    14,741.10x = 208,303,330.49
  5. Step 5: Solve for x
    x = 208,303,330.49/14,741.10
  6. Step 6: Final answer
    x = 14,130.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.