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Finding the Fourth Proportional to 25,224, 37,832.61 and 10,430.88

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Solution

The fourth proportional to 25,224, 37,832.61 and 10,430.88 is: 15,644.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224 : 37,832.61 = 10,430.88 : x
  2. Step 2: Convert to fraction form
    25,224/37,832.61 = 10,430.88/x
  3. Step 3: Cross multiply
    25,224x = 37,832.61 × 10,430.88
  4. Step 4: Simplify right side
    25,224x = 394,627,415.00
  5. Step 5: Solve for x
    x = 394,627,415.00/25,224
  6. Step 6: Final answer
    x = 15,644.92

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1.5x scale

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.