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Finding the Fourth Proportional to 14,476.32, 21,750.78 and 9,213.60

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Solution

The fourth proportional to 14,476.32, 21,750.78 and 9,213.60 is: 13,843.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.32 : 21,750.78 = 9,213.60 : x
  2. Step 2: Convert to fraction form
    14,476.32/21,750.78 = 9,213.60/x
  3. Step 3: Cross multiply
    14,476.32x = 21,750.78 × 9,213.60
  4. Step 4: Simplify right side
    14,476.32x = 200,402,986.61
  5. Step 5: Solve for x
    x = 200,402,986.61/14,476.32
  6. Step 6: Final answer
    x = 13,843.50

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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.