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Finding the Fourth Proportional to 14,625.67, 21,938.48 and 4,764.93

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Solution

The fourth proportional to 14,625.67, 21,938.48 and 4,764.93 is: 7,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.67 : 21,938.48 = 4,764.93 : x
  2. Step 2: Convert to fraction form
    14,625.67/21,938.48 = 4,764.93/x
  3. Step 3: Cross multiply
    14,625.67x = 21,938.48 × 4,764.93
  4. Step 4: Simplify right side
    14,625.67x = 104,535,321.51
  5. Step 5: Solve for x
    x = 104,535,321.51/14,625.67
  6. Step 6: Final answer
    x = 7,147.39

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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.