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Finding the Fourth Proportional to 23,751.81, 32,776.14 and 13,140.81

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Solution

The fourth proportional to 23,751.81, 32,776.14 and 13,140.81 is: 18,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751.81 : 32,776.14 = 13,140.81 : x
  2. Step 2: Convert to fraction form
    23,751.81/32,776.14 = 13,140.81/x
  3. Step 3: Cross multiply
    23,751.81x = 32,776.14 × 13,140.81
  4. Step 4: Simplify right side
    23,751.81x = 430,705,028.27
  5. Step 5: Solve for x
    x = 430,705,028.27/23,751.81
  6. Step 6: Final answer
    x = 18,133.57

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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.