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Finding the Fourth Proportional to 25,373, 38,048.78 and 7,606.18

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Solution

The fourth proportional to 25,373, 38,048.78 and 7,606.18 is: 11,406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,373 : 38,048.78 = 7,606.18 : x
  2. Step 2: Convert to fraction form
    25,373/38,048.78 = 7,606.18/x
  3. Step 3: Cross multiply
    25,373x = 38,048.78 × 7,606.18
  4. Step 4: Simplify right side
    25,373x = 289,405,869.46
  5. Step 5: Solve for x
    x = 289,405,869.46/25,373
  6. Step 6: Final answer
    x = 11,406.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.