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Finding the Fourth Proportional to 19,602.26, 29,374.68 and 9,721.80

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Solution

The fourth proportional to 19,602.26, 29,374.68 and 9,721.80 is: 14,568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602.26 : 29,374.68 = 9,721.80 : x
  2. Step 2: Convert to fraction form
    19,602.26/29,374.68 = 9,721.80/x
  3. Step 3: Cross multiply
    19,602.26x = 29,374.68 × 9,721.80
  4. Step 4: Simplify right side
    19,602.26x = 285,574,788.85
  5. Step 5: Solve for x
    x = 285,574,788.85/19,602.26
  6. Step 6: Final answer
    x = 14,568.47

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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.