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Finding the Fourth Proportional to 25,216.32, 37,821.60 and 9,633.60

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Solution

The fourth proportional to 25,216.32, 37,821.60 and 9,633.60 is: 14,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.32 : 37,821.60 = 9,633.60 : x
  2. Step 2: Convert to fraction form
    25,216.32/37,821.60 = 9,633.60/x
  3. Step 3: Cross multiply
    25,216.32x = 37,821.60 × 9,633.60
  4. Step 4: Simplify right side
    25,216.32x = 364,358,165.76
  5. Step 5: Solve for x
    x = 364,358,165.76/25,216.32
  6. Step 6: Final answer
    x = 14,449.30

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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.