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Finding the Fourth Proportional to 16,005.76, 24,017.26 and 7,797.76

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Solution

The fourth proportional to 16,005.76, 24,017.26 and 7,797.76 is: 11,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.76 : 24,017.26 = 7,797.76 : x
  2. Step 2: Convert to fraction form
    16,005.76/24,017.26 = 7,797.76/x
  3. Step 3: Cross multiply
    16,005.76x = 24,017.26 × 7,797.76
  4. Step 4: Simplify right side
    16,005.76x = 187,280,829.34
  5. Step 5: Solve for x
    x = 187,280,829.34/16,005.76
  6. Step 6: Final answer
    x = 11,700.84

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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.