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Finding the Fourth Proportional to 25,614.70, 38,422.05 and 13,774.05

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Solution

The fourth proportional to 25,614.70, 38,422.05 and 13,774.05 is: 20,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.70 : 38,422.05 = 13,774.05 : x
  2. Step 2: Convert to fraction form
    25,614.70/38,422.05 = 13,774.05/x
  3. Step 3: Cross multiply
    25,614.70x = 38,422.05 × 13,774.05
  4. Step 4: Simplify right side
    25,614.70x = 529,227,186.15
  5. Step 5: Solve for x
    x = 529,227,186.15/25,614.70
  6. Step 6: Final answer
    x = 20,661.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.