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Finding the Fourth Proportional to 25,005.97, 37,509.01 and 10,214.90

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Solution

The fourth proportional to 25,005.97, 37,509.01 and 10,214.90 is: 15,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,005.97 : 37,509.01 = 10,214.90 : x
  2. Step 2: Convert to fraction form
    25,005.97/37,509.01 = 10,214.90/x
  3. Step 3: Cross multiply
    25,005.97x = 37,509.01 × 10,214.90
  4. Step 4: Simplify right side
    25,005.97x = 383,150,735.17
  5. Step 5: Solve for x
    x = 383,150,735.17/25,005.97
  6. Step 6: Final answer
    x = 15,322.37

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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.