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Finding the Fourth Proportional to 18,032.12, 24,883.08 and 9,965.48

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Solution

The fourth proportional to 18,032.12, 24,883.08 and 9,965.48 is: 13,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,032.12 : 24,883.08 = 9,965.48 : x
  2. Step 2: Convert to fraction form
    18,032.12/24,883.08 = 9,965.48/x
  3. Step 3: Cross multiply
    18,032.12x = 24,883.08 × 9,965.48
  4. Step 4: Simplify right side
    18,032.12x = 247,971,836.08
  5. Step 5: Solve for x
    x = 247,971,836.08/18,032.12
  6. Step 6: Final answer
    x = 13,751.67

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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.