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Finding the Fourth Proportional to 25,814.64, 38,721.94 and 7,346.64

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Solution

The fourth proportional to 25,814.64, 38,721.94 and 7,346.64 is: 11,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.64 : 38,721.94 = 7,346.64 : x
  2. Step 2: Convert to fraction form
    25,814.64/38,721.94 = 7,346.64/x
  3. Step 3: Cross multiply
    25,814.64x = 38,721.94 × 7,346.64
  4. Step 4: Simplify right side
    25,814.64x = 284,476,153.28
  5. Step 5: Solve for x
    x = 284,476,153.28/25,814.64
  6. Step 6: Final answer
    x = 11,019.95

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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.