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Finding the Fourth Proportional to 14,539.50, 20,064.51 and 7,915.50

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Solution

The fourth proportional to 14,539.50, 20,064.51 and 7,915.50 is: 10,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.50 : 20,064.51 = 7,915.50 : x
  2. Step 2: Convert to fraction form
    14,539.50/20,064.51 = 7,915.50/x
  3. Step 3: Cross multiply
    14,539.50x = 20,064.51 × 7,915.50
  4. Step 4: Simplify right side
    14,539.50x = 158,820,628.91
  5. Step 5: Solve for x
    x = 158,820,628.91/14,539.50
  6. Step 6: Final answer
    x = 10,923.39

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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.