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Finding the Fourth Proportional to 13,206.41, 19,809.59 and 5,308.92

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Solution

The fourth proportional to 13,206.41, 19,809.59 and 5,308.92 is: 7,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.41 : 19,809.59 = 5,308.92 : x
  2. Step 2: Convert to fraction form
    13,206.41/19,809.59 = 5,308.92/x
  3. Step 3: Cross multiply
    13,206.41x = 19,809.59 × 5,308.92
  4. Step 4: Simplify right side
    13,206.41x = 105,167,502.00
  5. Step 5: Solve for x
    x = 105,167,502.00/13,206.41
  6. Step 6: Final answer
    x = 7,963.37

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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.