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Finding the Fourth Proportional to 14,226.50, 21,309.98 and 11,438.07

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Solution

The fourth proportional to 14,226.50, 21,309.98 and 11,438.07 is: 17,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.50 : 21,309.98 = 11,438.07 : x
  2. Step 2: Convert to fraction form
    14,226.50/21,309.98 = 11,438.07/x
  3. Step 3: Cross multiply
    14,226.50x = 21,309.98 × 11,438.07
  4. Step 4: Simplify right side
    14,226.50x = 243,744,985.75
  5. Step 5: Solve for x
    x = 243,744,985.75/14,226.50
  6. Step 6: Final answer
    x = 17,133.17

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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.