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Finding the Fourth Proportional to 25,407.60, 38,111.34 and 6,939.60

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Solution

The fourth proportional to 25,407.60, 38,111.34 and 6,939.60 is: 10,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407.60 : 38,111.34 = 6,939.60 : x
  2. Step 2: Convert to fraction form
    25,407.60/38,111.34 = 6,939.60/x
  3. Step 3: Cross multiply
    25,407.60x = 38,111.34 × 6,939.60
  4. Step 4: Simplify right side
    25,407.60x = 264,477,455.06
  5. Step 5: Solve for x
    x = 264,477,455.06/25,407.60
  6. Step 6: Final answer
    x = 10,409.38

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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.