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Finding the Fourth Proportional to 25,173.52, 37,760.40 and 7,643.50

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Solution

The fourth proportional to 25,173.52, 37,760.40 and 7,643.50 is: 11,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,173.52 : 37,760.40 = 7,643.50 : x
  2. Step 2: Convert to fraction form
    25,173.52/37,760.40 = 7,643.50/x
  3. Step 3: Cross multiply
    25,173.52x = 37,760.40 × 7,643.50
  4. Step 4: Simplify right side
    25,173.52x = 288,621,617.40
  5. Step 5: Solve for x
    x = 288,621,617.40/25,173.52
  6. Step 6: Final answer
    x = 11,465.29

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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.