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Finding the Fourth Proportional to 15,830.21, 21,850.01 and 9,858.35

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Solution

The fourth proportional to 15,830.21, 21,850.01 and 9,858.35 is: 13,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.21 : 21,850.01 = 9,858.35 : x
  2. Step 2: Convert to fraction form
    15,830.21/21,850.01 = 9,858.35/x
  3. Step 3: Cross multiply
    15,830.21x = 21,850.01 × 9,858.35
  4. Step 4: Simplify right side
    15,830.21x = 215,405,046.08
  5. Step 5: Solve for x
    x = 215,405,046.08/15,830.21
  6. Step 6: Final answer
    x = 13,607.21

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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.