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Finding the Fourth Proportional to 24,626.81, 36,941.30 and 9,035.93

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Solution

The fourth proportional to 24,626.81, 36,941.30 and 9,035.93 is: 13,554.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,626.81 : 36,941.30 = 9,035.93 : x
  2. Step 2: Convert to fraction form
    24,626.81/36,941.30 = 9,035.93/x
  3. Step 3: Cross multiply
    24,626.81x = 36,941.30 × 9,035.93
  4. Step 4: Simplify right side
    24,626.81x = 333,799,000.91
  5. Step 5: Solve for x
    x = 333,799,000.91/24,626.81
  6. Step 6: Final answer
    x = 13,554.29

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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.