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Finding the Fourth Proportional to 14,293.67, 19,741.81 and 9,505.32

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Solution

The fourth proportional to 14,293.67, 19,741.81 and 9,505.32 is: 13,128.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.67 : 19,741.81 = 9,505.32 : x
  2. Step 2: Convert to fraction form
    14,293.67/19,741.81 = 9,505.32/x
  3. Step 3: Cross multiply
    14,293.67x = 19,741.81 × 9,505.32
  4. Step 4: Simplify right side
    14,293.67x = 187,652,160.74
  5. Step 5: Solve for x
    x = 187,652,160.74/14,293.67
  6. Step 6: Final answer
    x = 13,128.34

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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.