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Finding the Fourth Proportional to 14,606.10, 21,914.55 and 14,066.10

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Solution

The fourth proportional to 14,606.10, 21,914.55 and 14,066.10 is: 21,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.10 : 21,914.55 = 14,066.10 : x
  2. Step 2: Convert to fraction form
    14,606.10/21,914.55 = 14,066.10/x
  3. Step 3: Cross multiply
    14,606.10x = 21,914.55 × 14,066.10
  4. Step 4: Simplify right side
    14,606.10x = 308,252,251.76
  5. Step 5: Solve for x
    x = 308,252,251.76/14,606.10
  6. Step 6: Final answer
    x = 21,104.35

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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.