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Finding the Fourth Proportional to 14,206.12, 21,318.66 and 4,972.12

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Solution

The fourth proportional to 14,206.12, 21,318.66 and 4,972.12 is: 7,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.12 : 21,318.66 = 4,972.12 : x
  2. Step 2: Convert to fraction form
    14,206.12/21,318.66 = 4,972.12/x
  3. Step 3: Cross multiply
    14,206.12x = 21,318.66 × 4,972.12
  4. Step 4: Simplify right side
    14,206.12x = 105,998,935.76
  5. Step 5: Solve for x
    x = 105,998,935.76/14,206.12
  6. Step 6: Final answer
    x = 7,461.50

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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.