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Finding the Fourth Proportional to 14,825.88, 22,245 and 6,501.60

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Solution

The fourth proportional to 14,825.88, 22,245 and 6,501.60 is: 9,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,825.88 : 22,245 = 6,501.60 : x
  2. Step 2: Convert to fraction form
    14,825.88/22,245 = 6,501.60/x
  3. Step 3: Cross multiply
    14,825.88x = 22,245 × 6,501.60
  4. Step 4: Simplify right side
    14,825.88x = 144,628,092
  5. Step 5: Solve for x
    x = 144,628,092/14,825.88
  6. Step 6: Final answer
    x = 9,755.11

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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.