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Finding the Fourth Proportional to 24,265.85, 36,384.41 and 9,457.48

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Solution

The fourth proportional to 24,265.85, 36,384.41 and 9,457.48 is: 14,180.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,265.85 : 36,384.41 = 9,457.48 : x
  2. Step 2: Convert to fraction form
    24,265.85/36,384.41 = 9,457.48/x
  3. Step 3: Cross multiply
    24,265.85x = 36,384.41 × 9,457.48
  4. Step 4: Simplify right side
    24,265.85x = 344,104,641.15
  5. Step 5: Solve for x
    x = 344,104,641.15/24,265.85
  6. Step 6: Final answer
    x = 14,180.62

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1.5x scale

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.