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Finding the Fourth Proportional to 15,824, 21,837.12 and 9,537.68

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Solution

The fourth proportional to 15,824, 21,837.12 and 9,537.68 is: 13,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,824 : 21,837.12 = 9,537.68 : x
  2. Step 2: Convert to fraction form
    15,824/21,837.12 = 9,537.68/x
  3. Step 3: Cross multiply
    15,824x = 21,837.12 × 9,537.68
  4. Step 4: Simplify right side
    15,824x = 208,275,462.68
  5. Step 5: Solve for x
    x = 208,275,462.68/15,824
  6. Step 6: Final answer
    x = 13,162.00

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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.