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Finding the Fourth Proportional to 13,218.55, 19,823.22 and 5,319.02

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Solution

The fourth proportional to 13,218.55, 19,823.22 and 5,319.02 is: 7,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.55 : 19,823.22 = 5,319.02 : x
  2. Step 2: Convert to fraction form
    13,218.55/19,823.22 = 5,319.02/x
  3. Step 3: Cross multiply
    13,218.55x = 19,823.22 × 5,319.02
  4. Step 4: Simplify right side
    13,218.55x = 105,440,133.26
  5. Step 5: Solve for x
    x = 105,440,133.26/13,218.55
  6. Step 6: Final answer
    x = 7,976.68

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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.