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Finding the Fourth Proportional to 15,810.82, 21,829.53 and 9,844.90

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Solution

The fourth proportional to 15,810.82, 21,829.53 and 9,844.90 is: 13,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,810.82 : 21,829.53 = 9,844.90 : x
  2. Step 2: Convert to fraction form
    15,810.82/21,829.53 = 9,844.90/x
  3. Step 3: Cross multiply
    15,810.82x = 21,829.53 × 9,844.90
  4. Step 4: Simplify right side
    15,810.82x = 214,909,539.90
  5. Step 5: Solve for x
    x = 214,909,539.90/15,810.82
  6. Step 6: Final answer
    x = 13,592.56

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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.