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Finding the Fourth Proportional to 22,242.75, 30,695.00 and 13,859.25

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Solution

The fourth proportional to 22,242.75, 30,695.00 and 13,859.25 is: 19,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,242.75 : 30,695.00 = 13,859.25 : x
  2. Step 2: Convert to fraction form
    22,242.75/30,695.00 = 13,859.25/x
  3. Step 3: Cross multiply
    22,242.75x = 30,695.00 × 13,859.25
  4. Step 4: Simplify right side
    22,242.75x = 425,409,609.45
  5. Step 5: Solve for x
    x = 425,409,609.45/22,242.75
  6. Step 6: Final answer
    x = 19,125.77

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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.