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Finding the Fourth Proportional to 13,999.34, 19,315.73 and 7,948.24

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Solution

The fourth proportional to 13,999.34, 19,315.73 and 7,948.24 is: 10,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.34 : 19,315.73 = 7,948.24 : x
  2. Step 2: Convert to fraction form
    13,999.34/19,315.73 = 7,948.24/x
  3. Step 3: Cross multiply
    13,999.34x = 19,315.73 × 7,948.24
  4. Step 4: Simplify right side
    13,999.34x = 153,526,057.82
  5. Step 5: Solve for x
    x = 153,526,057.82/13,999.34
  6. Step 6: Final answer
    x = 10,966.66

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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.