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Finding the Fourth Proportional to 14,275.71, 21,414.98 and 4,914.49

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Solution

The fourth proportional to 14,275.71, 21,414.98 and 4,914.49 is: 7,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,275.71 : 21,414.98 = 4,914.49 : x
  2. Step 2: Convert to fraction form
    14,275.71/21,414.98 = 4,914.49/x
  3. Step 3: Cross multiply
    14,275.71x = 21,414.98 × 4,914.49
  4. Step 4: Simplify right side
    14,275.71x = 105,243,597.99
  5. Step 5: Solve for x
    x = 105,243,597.99/14,275.71
  6. Step 6: Final answer
    x = 7,372.22

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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.