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Finding the Fourth Proportional to 24,943.94, 34,422.63 and 13,765.94

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Solution

The fourth proportional to 24,943.94, 34,422.63 and 13,765.94 is: 18,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,943.94 : 34,422.63 = 13,765.94 : x
  2. Step 2: Convert to fraction form
    24,943.94/34,422.63 = 13,765.94/x
  3. Step 3: Cross multiply
    24,943.94x = 34,422.63 × 13,765.94
  4. Step 4: Simplify right side
    24,943.94x = 473,859,859.22
  5. Step 5: Solve for x
    x = 473,859,859.22/24,943.94
  6. Step 6: Final answer
    x = 18,996.99

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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.