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Finding the Fourth Proportional to 25,733, 35,512.50 and 14,554.76

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Solution

The fourth proportional to 25,733, 35,512.50 and 14,554.76 is: 20,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,733 : 35,512.50 = 14,554.76 : x
  2. Step 2: Convert to fraction form
    25,733/35,512.50 = 14,554.76/x
  3. Step 3: Cross multiply
    25,733x = 35,512.50 × 14,554.76
  4. Step 4: Simplify right side
    25,733x = 516,875,914.50
  5. Step 5: Solve for x
    x = 516,875,914.50/25,733
  6. Step 6: Final answer
    x = 20,086.11

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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.