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Finding the Fourth Proportional to 25,407.64, 35,059.26 and 14,229.64

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Solution

The fourth proportional to 25,407.64, 35,059.26 and 14,229.64 is: 19,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407.64 : 35,059.26 = 14,229.64 : x
  2. Step 2: Convert to fraction form
    25,407.64/35,059.26 = 14,229.64/x
  3. Step 3: Cross multiply
    25,407.64x = 35,059.26 × 14,229.64
  4. Step 4: Simplify right side
    25,407.64x = 498,880,648.47
  5. Step 5: Solve for x
    x = 498,880,648.47/25,407.64
  6. Step 6: Final answer
    x = 19,635.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.