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Finding the Fourth Proportional to 25,406.10, 38,109.09 and 6,938.10

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Solution

The fourth proportional to 25,406.10, 38,109.09 and 6,938.10 is: 10,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.10 : 38,109.09 = 6,938.10 : x
  2. Step 2: Convert to fraction form
    25,406.10/38,109.09 = 6,938.10/x
  3. Step 3: Cross multiply
    25,406.10x = 38,109.09 × 6,938.10
  4. Step 4: Simplify right side
    25,406.10x = 264,404,677.33
  5. Step 5: Solve for x
    x = 264,404,677.33/25,406.10
  6. Step 6: Final answer
    x = 10,407.13

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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.