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Finding the Fourth Proportional to 24,476.38, 36,706.68 and 6,941.50

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Solution

The fourth proportional to 24,476.38, 36,706.68 and 6,941.50 is: 10,410.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.38 : 36,706.68 = 6,941.50 : x
  2. Step 2: Convert to fraction form
    24,476.38/36,706.68 = 6,941.50/x
  3. Step 3: Cross multiply
    24,476.38x = 36,706.68 × 6,941.50
  4. Step 4: Simplify right side
    24,476.38x = 254,799,419.22
  5. Step 5: Solve for x
    x = 254,799,419.22/24,476.38
  6. Step 6: Final answer
    x = 10,410.01

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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.