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Finding the Fourth Proportional to 16,441.64, 24,666.11 and 7,671.77

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Solution

The fourth proportional to 16,441.64, 24,666.11 and 7,671.77 is: 11,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.64 : 24,666.11 = 7,671.77 : x
  2. Step 2: Convert to fraction form
    16,441.64/24,666.11 = 7,671.77/x
  3. Step 3: Cross multiply
    16,441.64x = 24,666.11 × 7,671.77
  4. Step 4: Simplify right side
    16,441.64x = 189,232,636.04
  5. Step 5: Solve for x
    x = 189,232,636.04/16,441.64
  6. Step 6: Final answer
    x = 11,509.36

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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.