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Finding the Fourth Proportional to 16,077.76, 24,007.20 and 14,187.88

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Solution

The fourth proportional to 16,077.76, 24,007.20 and 14,187.88 is: 21,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.76 : 24,007.20 = 14,187.88 : x
  2. Step 2: Convert to fraction form
    16,077.76/24,007.20 = 14,187.88/x
  3. Step 3: Cross multiply
    16,077.76x = 24,007.20 × 14,187.88
  4. Step 4: Simplify right side
    16,077.76x = 340,611,272.74
  5. Step 5: Solve for x
    x = 340,611,272.74/16,077.76
  6. Step 6: Final answer
    x = 21,185.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.