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Finding the Fourth Proportional to 25,773.84, 38,675.64 and 13,927.65

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Solution

The fourth proportional to 25,773.84, 38,675.64 and 13,927.65 is: 20,899.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.84 : 38,675.64 = 13,927.65 : x
  2. Step 2: Convert to fraction form
    25,773.84/38,675.64 = 13,927.65/x
  3. Step 3: Cross multiply
    25,773.84x = 38,675.64 × 13,927.65
  4. Step 4: Simplify right side
    25,773.84x = 538,660,777.45
  5. Step 5: Solve for x
    x = 538,660,777.45/25,773.84
  6. Step 6: Final answer
    x = 20,899.52

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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.