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Finding the Fourth Proportional to 13,412.69, 20,122.68 and 4,648.29

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Solution

The fourth proportional to 13,412.69, 20,122.68 and 4,648.29 is: 6,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.69 : 20,122.68 = 4,648.29 : x
  2. Step 2: Convert to fraction form
    13,412.69/20,122.68 = 4,648.29/x
  3. Step 3: Cross multiply
    13,412.69x = 20,122.68 × 4,648.29
  4. Step 4: Simplify right side
    13,412.69x = 93,535,968.04
  5. Step 5: Solve for x
    x = 93,535,968.04/13,412.69
  6. Step 6: Final answer
    x = 6,973.69

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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.