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Finding the Fourth Proportional to 14,907.38, 20,564.61 and 11,364.44

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Solution

The fourth proportional to 14,907.38, 20,564.61 and 11,364.44 is: 15,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,907.38 : 20,564.61 = 11,364.44 : x
  2. Step 2: Convert to fraction form
    14,907.38/20,564.61 = 11,364.44/x
  3. Step 3: Cross multiply
    14,907.38x = 20,564.61 × 11,364.44
  4. Step 4: Simplify right side
    14,907.38x = 233,705,285.26
  5. Step 5: Solve for x
    x = 233,705,285.26/14,907.38
  6. Step 6: Final answer
    x = 15,677.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.