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Finding the Fourth Proportional to 14,625.74, 21,938.56 and 4,765

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Solution

The fourth proportional to 14,625.74, 21,938.56 and 4,765 is: 7,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,625.74 : 21,938.56 = 4,765 : x
  2. Step 2: Convert to fraction form
    14,625.74/21,938.56 = 4,765/x
  3. Step 3: Cross multiply
    14,625.74x = 21,938.56 × 4,765
  4. Step 4: Simplify right side
    14,625.74x = 104,537,238.40
  5. Step 5: Solve for x
    x = 104,537,238.40/14,625.74
  6. Step 6: Final answer
    x = 7,147.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.