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Finding the Fourth Proportional to 13,218.50, 19,827.75 and 5,010.50

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Solution

The fourth proportional to 13,218.50, 19,827.75 and 5,010.50 is: 7,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.50 : 19,827.75 = 5,010.50 : x
  2. Step 2: Convert to fraction form
    13,218.50/19,827.75 = 5,010.50/x
  3. Step 3: Cross multiply
    13,218.50x = 19,827.75 × 5,010.50
  4. Step 4: Simplify right side
    13,218.50x = 99,346,941.38
  5. Step 5: Solve for x
    x = 99,346,941.38/13,218.50
  6. Step 6: Final answer
    x = 7,515.75

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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.