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Finding the Fourth Proportional to 13,783.50, 20,544.48 and 13,367.97

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Solution

The fourth proportional to 13,783.50, 20,544.48 and 13,367.97 is: 19,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.50 : 20,544.48 = 13,367.97 : x
  2. Step 2: Convert to fraction form
    13,783.50/20,544.48 = 13,367.97/x
  3. Step 3: Cross multiply
    13,783.50x = 20,544.48 × 13,367.97
  4. Step 4: Simplify right side
    13,783.50x = 274,637,992.31
  5. Step 5: Solve for x
    x = 274,637,992.31/13,783.50
  6. Step 6: Final answer
    x = 19,925.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.