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Finding the Fourth Proportional to 23,284, 32,133.84 and 13,349.92

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Solution

The fourth proportional to 23,284, 32,133.84 and 13,349.92 is: 18,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284 : 32,133.84 = 13,349.92 : x
  2. Step 2: Convert to fraction form
    23,284/32,133.84 = 13,349.92/x
  3. Step 3: Cross multiply
    23,284x = 32,133.84 × 13,349.92
  4. Step 4: Simplify right side
    23,284x = 428,984,193.29
  5. Step 5: Solve for x
    x = 428,984,193.29/23,284
  6. Step 6: Final answer
    x = 18,423.99

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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.