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Finding the Fourth Proportional to 16,254.40, 24,380.16 and 7,931.20

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Solution

The fourth proportional to 16,254.40, 24,380.16 and 7,931.20 is: 11,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.40 : 24,380.16 = 7,931.20 : x
  2. Step 2: Convert to fraction form
    16,254.40/24,380.16 = 7,931.20/x
  3. Step 3: Cross multiply
    16,254.40x = 24,380.16 × 7,931.20
  4. Step 4: Simplify right side
    16,254.40x = 193,363,924.99
  5. Step 5: Solve for x
    x = 193,363,924.99/16,254.40
  6. Step 6: Final answer
    x = 11,896.10

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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.