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Finding the Fourth Proportional to 25,830.54, 35,649 and 14,502.96

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Solution

The fourth proportional to 25,830.54, 35,649 and 14,502.96 is: 20,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.54 : 35,649 = 14,502.96 : x
  2. Step 2: Convert to fraction form
    25,830.54/35,649 = 14,502.96/x
  3. Step 3: Cross multiply
    25,830.54x = 35,649 × 14,502.96
  4. Step 4: Simplify right side
    25,830.54x = 517,016,021.04
  5. Step 5: Solve for x
    x = 517,016,021.04/25,830.54
  6. Step 6: Final answer
    x = 20,015.69

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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.