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Finding the Fourth Proportional to 25,101.93, 37,628.42 and 11,950.77

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Solution

The fourth proportional to 25,101.93, 37,628.42 and 11,950.77 is: 17,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.93 : 37,628.42 = 11,950.77 : x
  2. Step 2: Convert to fraction form
    25,101.93/37,628.42 = 11,950.77/x
  3. Step 3: Cross multiply
    25,101.93x = 37,628.42 × 11,950.77
  4. Step 4: Simplify right side
    25,101.93x = 449,688,533.13
  5. Step 5: Solve for x
    x = 449,688,533.13/25,101.93
  6. Step 6: Final answer
    x = 17,914.50

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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.