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Finding the Fourth Proportional to 16,595.34, 24,878.70 and 7,824.12

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Solution

The fourth proportional to 16,595.34, 24,878.70 and 7,824.12 is: 11,729.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595.34 : 24,878.70 = 7,824.12 : x
  2. Step 2: Convert to fraction form
    16,595.34/24,878.70 = 7,824.12/x
  3. Step 3: Cross multiply
    16,595.34x = 24,878.70 × 7,824.12
  4. Step 4: Simplify right side
    16,595.34x = 194,653,934.24
  5. Step 5: Solve for x
    x = 194,653,934.24/16,595.34
  6. Step 6: Final answer
    x = 11,729.43

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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.