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Finding the Fourth Proportional to 17,750.40, 24,480 and 14,212.32

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Solution

The fourth proportional to 17,750.40, 24,480 and 14,212.32 is: 19,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,750.40 : 24,480 = 14,212.32 : x
  2. Step 2: Convert to fraction form
    17,750.40/24,480 = 14,212.32/x
  3. Step 3: Cross multiply
    17,750.40x = 24,480 × 14,212.32
  4. Step 4: Simplify right side
    17,750.40x = 347,917,593.60
  5. Step 5: Solve for x
    x = 347,917,593.60/17,750.40
  6. Step 6: Final answer
    x = 19,600.55

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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.