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Finding the Fourth Proportional to 14,028.38, 19,359.56 and 7,741.16

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Solution

The fourth proportional to 14,028.38, 19,359.56 and 7,741.16 is: 10,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.38 : 19,359.56 = 7,741.16 : x
  2. Step 2: Convert to fraction form
    14,028.38/19,359.56 = 7,741.16/x
  3. Step 3: Cross multiply
    14,028.38x = 19,359.56 × 7,741.16
  4. Step 4: Simplify right side
    14,028.38x = 149,865,374.04
  5. Step 5: Solve for x
    x = 149,865,374.04/14,028.38
  6. Step 6: Final answer
    x = 10,683.02

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Why These Related Problems?

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