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Finding the Fourth Proportional to 14,415.68, 21,584.43 and 7,475.60

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Solution

The fourth proportional to 14,415.68, 21,584.43 and 7,475.60 is: 11,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.68 : 21,584.43 = 7,475.60 : x
  2. Step 2: Convert to fraction form
    14,415.68/21,584.43 = 7,475.60/x
  3. Step 3: Cross multiply
    14,415.68x = 21,584.43 × 7,475.60
  4. Step 4: Simplify right side
    14,415.68x = 161,356,456.99
  5. Step 5: Solve for x
    x = 161,356,456.99/14,415.68
  6. Step 6: Final answer
    x = 11,193.13

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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.