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Finding the Fourth Proportional to 25,781.50, 38,674.50 and 7,313.50

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Solution

The fourth proportional to 25,781.50, 38,674.50 and 7,313.50 is: 10,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,781.50 : 38,674.50 = 7,313.50 : x
  2. Step 2: Convert to fraction form
    25,781.50/38,674.50 = 7,313.50/x
  3. Step 3: Cross multiply
    25,781.50x = 38,674.50 × 7,313.50
  4. Step 4: Simplify right side
    25,781.50x = 282,845,955.75
  5. Step 5: Solve for x
    x = 282,845,955.75/25,781.50
  6. Step 6: Final answer
    x = 10,970.89

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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.