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Finding the Fourth Proportional to 24,534.30, 36,769.04 and 8,936.94

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Solution

The fourth proportional to 24,534.30, 36,769.04 and 8,936.94 is: 13,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534.30 : 36,769.04 = 8,936.94 : x
  2. Step 2: Convert to fraction form
    24,534.30/36,769.04 = 8,936.94/x
  3. Step 3: Cross multiply
    24,534.30x = 36,769.04 × 8,936.94
  4. Step 4: Simplify right side
    24,534.30x = 328,602,475.81
  5. Step 5: Solve for x
    x = 328,602,475.81/24,534.30
  6. Step 6: Final answer
    x = 13,393.60

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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.