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Finding the Fourth Proportional to 16,130.88, 24,200.64 and 7,814.88

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Solution

The fourth proportional to 16,130.88, 24,200.64 and 7,814.88 is: 11,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130.88 : 24,200.64 = 7,814.88 : x
  2. Step 2: Convert to fraction form
    16,130.88/24,200.64 = 7,814.88/x
  3. Step 3: Cross multiply
    16,130.88x = 24,200.64 × 7,814.88
  4. Step 4: Simplify right side
    16,130.88x = 189,125,097.52
  5. Step 5: Solve for x
    x = 189,125,097.52/16,130.88
  6. Step 6: Final answer
    x = 11,724.41

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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.