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Finding the Fourth Proportional to 15,814.36, 23,721.54 and 6,938.38

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Solution

The fourth proportional to 15,814.36, 23,721.54 and 6,938.38 is: 10,407.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.36 : 23,721.54 = 6,938.38 : x
  2. Step 2: Convert to fraction form
    15,814.36/23,721.54 = 6,938.38/x
  3. Step 3: Cross multiply
    15,814.36x = 23,721.54 × 6,938.38
  4. Step 4: Simplify right side
    15,814.36x = 164,589,058.71
  5. Step 5: Solve for x
    x = 164,589,058.71/15,814.36
  6. Step 6: Final answer
    x = 10,407.57

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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.