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Finding the Fourth Proportional to 23,777.50, 32,812.88 and 13,705.88

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Solution

The fourth proportional to 23,777.50, 32,812.88 and 13,705.88 is: 18,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.50 : 32,812.88 = 13,705.88 : x
  2. Step 2: Convert to fraction form
    23,777.50/32,812.88 = 13,705.88/x
  3. Step 3: Cross multiply
    23,777.50x = 32,812.88 × 13,705.88
  4. Step 4: Simplify right side
    23,777.50x = 449,729,574.92
  5. Step 5: Solve for x
    x = 449,729,574.92/23,777.50
  6. Step 6: Final answer
    x = 18,914.08

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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.