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Finding the Fourth Proportional to 25,409.96, 38,139.54 and 12,271.56

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Solution

The fourth proportional to 25,409.96, 38,139.54 and 12,271.56 is: 18,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,409.96 : 38,139.54 = 12,271.56 : x
  2. Step 2: Convert to fraction form
    25,409.96/38,139.54 = 12,271.56/x
  3. Step 3: Cross multiply
    25,409.96x = 38,139.54 × 12,271.56
  4. Step 4: Simplify right side
    25,409.96x = 468,031,653.48
  5. Step 5: Solve for x
    x = 468,031,653.48/25,409.96
  6. Step 6: Final answer
    x = 18,419.22

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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.