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Finding the Fourth Proportional to 15,830.72, 21,850.70 and 9,858.86

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Solution

The fourth proportional to 15,830.72, 21,850.70 and 9,858.86 is: 13,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.72 : 21,850.70 = 9,858.86 : x
  2. Step 2: Convert to fraction form
    15,830.72/21,850.70 = 9,858.86/x
  3. Step 3: Cross multiply
    15,830.72x = 21,850.70 × 9,858.86
  4. Step 4: Simplify right side
    15,830.72x = 215,422,833.65
  5. Step 5: Solve for x
    x = 215,422,833.65/15,830.72
  6. Step 6: Final answer
    x = 13,607.90

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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.