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Finding the Fourth Proportional to 14,472.84, 21,716.24 and 12,602.28

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Solution

The fourth proportional to 14,472.84, 21,716.24 and 12,602.28 is: 18,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472.84 : 21,716.24 = 12,602.28 : x
  2. Step 2: Convert to fraction form
    14,472.84/21,716.24 = 12,602.28/x
  3. Step 3: Cross multiply
    14,472.84x = 21,716.24 × 12,602.28
  4. Step 4: Simplify right side
    14,472.84x = 273,674,137.03
  5. Step 5: Solve for x
    x = 273,674,137.03/14,472.84
  6. Step 6: Final answer
    x = 18,909.50

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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.