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Finding the Fourth Proportional to 15,820.65, 21,841.25 and 11,840.31

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Solution

The fourth proportional to 15,820.65, 21,841.25 and 11,840.31 is: 16,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.65 : 21,841.25 = 11,840.31 : x
  2. Step 2: Convert to fraction form
    15,820.65/21,841.25 = 11,840.31/x
  3. Step 3: Cross multiply
    15,820.65x = 21,841.25 × 11,840.31
  4. Step 4: Simplify right side
    15,820.65x = 258,607,111.59
  5. Step 5: Solve for x
    x = 258,607,111.59/15,820.65
  6. Step 6: Final answer
    x = 16,346.17

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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.