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Finding the Fourth Proportional to 14,310.88, 21,470.80 and 6,420

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Solution

The fourth proportional to 14,310.88, 21,470.80 and 6,420 is: 9,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.88 : 21,470.80 = 6,420 : x
  2. Step 2: Convert to fraction form
    14,310.88/21,470.80 = 6,420/x
  3. Step 3: Cross multiply
    14,310.88x = 21,470.80 × 6,420
  4. Step 4: Simplify right side
    14,310.88x = 137,842,536
  5. Step 5: Solve for x
    x = 137,842,536/14,310.88
  6. Step 6: Final answer
    x = 9,632.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.