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Finding the Fourth Proportional to 13,429.96, 20,138.73 and 7,188.88

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Solution

The fourth proportional to 13,429.96, 20,138.73 and 7,188.88 is: 10,780.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,429.96 : 20,138.73 = 7,188.88 : x
  2. Step 2: Convert to fraction form
    13,429.96/20,138.73 = 7,188.88/x
  3. Step 3: Cross multiply
    13,429.96x = 20,138.73 × 7,188.88
  4. Step 4: Simplify right side
    13,429.96x = 144,774,913.32
  5. Step 5: Solve for x
    x = 144,774,913.32/13,429.96
  6. Step 6: Final answer
    x = 10,780.00

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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.