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Finding the Fourth Proportional to 24,539.64, 36,811.80 and 8,953.56

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Solution

The fourth proportional to 24,539.64, 36,811.80 and 8,953.56 is: 13,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539.64 : 36,811.80 = 8,953.56 : x
  2. Step 2: Convert to fraction form
    24,539.64/36,811.80 = 8,953.56/x
  3. Step 3: Cross multiply
    24,539.64x = 36,811.80 × 8,953.56
  4. Step 4: Simplify right side
    24,539.64x = 329,596,660.01
  5. Step 5: Solve for x
    x = 329,596,660.01/24,539.64
  6. Step 6: Final answer
    x = 13,431.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.