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Finding the Fourth Proportional to 23,457, 32,370.66 and 12,847.01

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Solution

The fourth proportional to 23,457, 32,370.66 and 12,847.01 is: 17,728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457 : 32,370.66 = 12,847.01 : x
  2. Step 2: Convert to fraction form
    23,457/32,370.66 = 12,847.01/x
  3. Step 3: Cross multiply
    23,457x = 32,370.66 × 12,847.01
  4. Step 4: Simplify right side
    23,457x = 415,866,273.65
  5. Step 5: Solve for x
    x = 415,866,273.65/23,457
  6. Step 6: Final answer
    x = 17,728.88

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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.