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Finding the Fourth Proportional to 23,900.70, 32,984.70 and 14,341

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Solution

The fourth proportional to 23,900.70, 32,984.70 and 14,341 is: 19,791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900.70 : 32,984.70 = 14,341 : x
  2. Step 2: Convert to fraction form
    23,900.70/32,984.70 = 14,341/x
  3. Step 3: Cross multiply
    23,900.70x = 32,984.70 × 14,341
  4. Step 4: Simplify right side
    23,900.70x = 473,033,582.70
  5. Step 5: Solve for x
    x = 473,033,582.70/23,900.70
  6. Step 6: Final answer
    x = 19,791.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.