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Finding the Fourth Proportional to 18,065.64, 24,928.25 and 10,106.31

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Solution

The fourth proportional to 18,065.64, 24,928.25 and 10,106.31 is: 13,945.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,065.64 : 24,928.25 = 10,106.31 : x
  2. Step 2: Convert to fraction form
    18,065.64/24,928.25 = 10,106.31/x
  3. Step 3: Cross multiply
    18,065.64x = 24,928.25 × 10,106.31
  4. Step 4: Simplify right side
    18,065.64x = 251,932,571.73
  5. Step 5: Solve for x
    x = 251,932,571.73/18,065.64
  6. Step 6: Final answer
    x = 13,945.40

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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.