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Finding the Fourth Proportional to 15,829.46, 21,848.97 and 9,857.60

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Solution

The fourth proportional to 15,829.46, 21,848.97 and 9,857.60 is: 13,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.46 : 21,848.97 = 9,857.60 : x
  2. Step 2: Convert to fraction form
    15,829.46/21,848.97 = 9,857.60/x
  3. Step 3: Cross multiply
    15,829.46x = 21,848.97 × 9,857.60
  4. Step 4: Simplify right side
    15,829.46x = 215,378,406.67
  5. Step 5: Solve for x
    x = 215,378,406.67/15,829.46
  6. Step 6: Final answer
    x = 13,606.18

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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.