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Finding the Fourth Proportional to 25,009.72, 37,477.46 and 10,200.52

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Solution

The fourth proportional to 25,009.72, 37,477.46 and 10,200.52 is: 15,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,009.72 : 37,477.46 = 10,200.52 : x
  2. Step 2: Convert to fraction form
    25,009.72/37,477.46 = 10,200.52/x
  3. Step 3: Cross multiply
    25,009.72x = 37,477.46 × 10,200.52
  4. Step 4: Simplify right side
    25,009.72x = 382,289,580.28
  5. Step 5: Solve for x
    x = 382,289,580.28/25,009.72
  6. Step 6: Final answer
    x = 15,285.64

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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.