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Finding the Fourth Proportional to 15,416.80, 23,092.80 and 12,824.80

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Solution

The fourth proportional to 15,416.80, 23,092.80 and 12,824.80 is: 19,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.80 : 23,092.80 = 12,824.80 : x
  2. Step 2: Convert to fraction form
    15,416.80/23,092.80 = 12,824.80/x
  3. Step 3: Cross multiply
    15,416.80x = 23,092.80 × 12,824.80
  4. Step 4: Simplify right side
    15,416.80x = 296,160,541.44
  5. Step 5: Solve for x
    x = 296,160,541.44/15,416.80
  6. Step 6: Final answer
    x = 19,210.25

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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.