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Finding the Fourth Proportional to 15,637.73, 21,574 and 9,582.44

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Solution

The fourth proportional to 15,637.73, 21,574 and 9,582.44 is: 13,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,637.73 : 21,574 = 9,582.44 : x
  2. Step 2: Convert to fraction form
    15,637.73/21,574 = 9,582.44/x
  3. Step 3: Cross multiply
    15,637.73x = 21,574 × 9,582.44
  4. Step 4: Simplify right side
    15,637.73x = 206,731,560.56
  5. Step 5: Solve for x
    x = 206,731,560.56/15,637.73
  6. Step 6: Final answer
    x = 13,220.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.