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Finding the Fourth Proportional to 14,152.32, 21,226.86 and 4,293

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Solution

The fourth proportional to 14,152.32, 21,226.86 and 4,293 is: 6,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.32 : 21,226.86 = 4,293 : x
  2. Step 2: Convert to fraction form
    14,152.32/21,226.86 = 4,293/x
  3. Step 3: Cross multiply
    14,152.32x = 21,226.86 × 4,293
  4. Step 4: Simplify right side
    14,152.32x = 91,126,909.98
  5. Step 5: Solve for x
    x = 91,126,909.98/14,152.32
  6. Step 6: Final answer
    x = 6,439.01

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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.