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Finding the Fourth Proportional to 13,950.14, 19,254.65 and 7,985.21

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Solution

The fourth proportional to 13,950.14, 19,254.65 and 7,985.21 is: 11,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.14 : 19,254.65 = 7,985.21 : x
  2. Step 2: Convert to fraction form
    13,950.14/19,254.65 = 7,985.21/x
  3. Step 3: Cross multiply
    13,950.14x = 19,254.65 × 7,985.21
  4. Step 4: Simplify right side
    13,950.14x = 153,752,287.53
  5. Step 5: Solve for x
    x = 153,752,287.53/13,950.14
  6. Step 6: Final answer
    x = 11,021.56

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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.