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Finding the Fourth Proportional to 14,314, 21,470.56 and 5,880.20

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Solution

The fourth proportional to 14,314, 21,470.56 and 5,880.20 is: 8,820.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314 : 21,470.56 = 5,880.20 : x
  2. Step 2: Convert to fraction form
    14,314/21,470.56 = 5,880.20/x
  3. Step 3: Cross multiply
    14,314x = 21,470.56 × 5,880.20
  4. Step 4: Simplify right side
    14,314x = 126,251,186.91
  5. Step 5: Solve for x
    x = 126,251,186.91/14,314
  6. Step 6: Final answer
    x = 8,820.12

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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.