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Finding the Fourth Proportional to 21,577.88, 29,774.94 and 12,145.88

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Solution

The fourth proportional to 21,577.88, 29,774.94 and 12,145.88 is: 16,759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.88 : 29,774.94 = 12,145.88 : x
  2. Step 2: Convert to fraction form
    21,577.88/29,774.94 = 12,145.88/x
  3. Step 3: Cross multiply
    21,577.88x = 29,774.94 × 12,145.88
  4. Step 4: Simplify right side
    21,577.88x = 361,642,848.25
  5. Step 5: Solve for x
    x = 361,642,848.25/21,577.88
  6. Step 6: Final answer
    x = 16,759.89

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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.