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Finding the Fourth Proportional to 24,461.50, 33,756.87 and 13,283.50

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Solution

The fourth proportional to 24,461.50, 33,756.87 and 13,283.50 is: 18,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.50 : 33,756.87 = 13,283.50 : x
  2. Step 2: Convert to fraction form
    24,461.50/33,756.87 = 13,283.50/x
  3. Step 3: Cross multiply
    24,461.50x = 33,756.87 × 13,283.50
  4. Step 4: Simplify right side
    24,461.50x = 448,409,382.65
  5. Step 5: Solve for x
    x = 448,409,382.65/24,461.50
  6. Step 6: Final answer
    x = 18,331.23

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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.