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Finding the Fourth Proportional to 23,607.76, 32,614.52 and 17,629.08

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Solution

The fourth proportional to 23,607.76, 32,614.52 and 17,629.08 is: 24,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,607.76 : 32,614.52 = 17,629.08 : x
  2. Step 2: Convert to fraction form
    23,607.76/32,614.52 = 17,629.08/x
  3. Step 3: Cross multiply
    23,607.76x = 32,614.52 × 17,629.08
  4. Step 4: Simplify right side
    23,607.76x = 574,963,982.24
  5. Step 5: Solve for x
    x = 574,963,982.24/23,607.76
  6. Step 6: Final answer
    x = 24,354.87

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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.