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Finding the Fourth Proportional to 24,938.56, 34,415.22 and 13,760.56

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Solution

The fourth proportional to 24,938.56, 34,415.22 and 13,760.56 is: 18,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938.56 : 34,415.22 = 13,760.56 : x
  2. Step 2: Convert to fraction form
    24,938.56/34,415.22 = 13,760.56/x
  3. Step 3: Cross multiply
    24,938.56x = 34,415.22 × 13,760.56
  4. Step 4: Simplify right side
    24,938.56x = 473,572,699.72
  5. Step 5: Solve for x
    x = 473,572,699.72/24,938.56
  6. Step 6: Final answer
    x = 18,989.58

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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.