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Finding the Fourth Proportional to 13,089.33, 19,619.71 and 6,430.41

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Solution

The fourth proportional to 13,089.33, 19,619.71 and 6,430.41 is: 9,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.33 : 19,619.71 = 6,430.41 : x
  2. Step 2: Convert to fraction form
    13,089.33/19,619.71 = 6,430.41/x
  3. Step 3: Cross multiply
    13,089.33x = 19,619.71 × 6,430.41
  4. Step 4: Simplify right side
    13,089.33x = 126,162,763.31
  5. Step 5: Solve for x
    x = 126,162,763.31/13,089.33
  6. Step 6: Final answer
    x = 9,638.60

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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.