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Finding the Fourth Proportional to 13,188.53, 19,782.74 and 5,397.35

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Solution

The fourth proportional to 13,188.53, 19,782.74 and 5,397.35 is: 8,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.53 : 19,782.74 = 5,397.35 : x
  2. Step 2: Convert to fraction form
    13,188.53/19,782.74 = 5,397.35/x
  3. Step 3: Cross multiply
    13,188.53x = 19,782.74 × 5,397.35
  4. Step 4: Simplify right side
    13,188.53x = 106,774,245.84
  5. Step 5: Solve for x
    x = 106,774,245.84/13,188.53
  6. Step 6: Final answer
    x = 8,096.00

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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.