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Finding the Fourth Proportional to 13,010.50, 17,954.52 and 7,421.50

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Solution

The fourth proportional to 13,010.50, 17,954.52 and 7,421.50 is: 10,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,010.50 : 17,954.52 = 7,421.50 : x
  2. Step 2: Convert to fraction form
    13,010.50/17,954.52 = 7,421.50/x
  3. Step 3: Cross multiply
    13,010.50x = 17,954.52 × 7,421.50
  4. Step 4: Simplify right side
    13,010.50x = 133,249,470.18
  5. Step 5: Solve for x
    x = 133,249,470.18/13,010.50
  6. Step 6: Final answer
    x = 10,241.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.