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Finding the Fourth Proportional to 13,999.84, 19,319.88 and 7,712.32

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Solution

The fourth proportional to 13,999.84, 19,319.88 and 7,712.32 is: 10,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.84 : 19,319.88 = 7,712.32 : x
  2. Step 2: Convert to fraction form
    13,999.84/19,319.88 = 7,712.32/x
  3. Step 3: Cross multiply
    13,999.84x = 19,319.88 × 7,712.32
  4. Step 4: Simplify right side
    13,999.84x = 149,001,096.92
  5. Step 5: Solve for x
    x = 149,001,096.92/13,999.84
  6. Step 6: Final answer
    x = 10,643.06

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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.