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Finding the Fourth Proportional to 15,833.84, 21,857.70 and 9,462.68

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Solution

The fourth proportional to 15,833.84, 21,857.70 and 9,462.68 is: 13,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.84 : 21,857.70 = 9,462.68 : x
  2. Step 2: Convert to fraction form
    15,833.84/21,857.70 = 9,462.68/x
  3. Step 3: Cross multiply
    15,833.84x = 21,857.70 × 9,462.68
  4. Step 4: Simplify right side
    15,833.84x = 206,832,420.64
  5. Step 5: Solve for x
    x = 206,832,420.64/15,833.84
  6. Step 6: Final answer
    x = 13,062.68

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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.