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Finding the Fourth Proportional to 15,804.30, 21,807.09 and 10,212.06

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Solution

The fourth proportional to 15,804.30, 21,807.09 and 10,212.06 is: 14,090.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.30 : 21,807.09 = 10,212.06 : x
  2. Step 2: Convert to fraction form
    15,804.30/21,807.09 = 10,212.06/x
  3. Step 3: Cross multiply
    15,804.30x = 21,807.09 × 10,212.06
  4. Step 4: Simplify right side
    15,804.30x = 222,695,311.51
  5. Step 5: Solve for x
    x = 222,695,311.51/15,804.30
  6. Step 6: Final answer
    x = 14,090.81

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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.