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Finding the Fourth Proportional to 21,103.16, 31,670.31 and 10,009.89

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Solution

The fourth proportional to 21,103.16, 31,670.31 and 10,009.89 is: 15,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,103.16 : 31,670.31 = 10,009.89 : x
  2. Step 2: Convert to fraction form
    21,103.16/31,670.31 = 10,009.89/x
  3. Step 3: Cross multiply
    21,103.16x = 31,670.31 × 10,009.89
  4. Step 4: Simplify right side
    21,103.16x = 317,016,319.37
  5. Step 5: Solve for x
    x = 317,016,319.37/21,103.16
  6. Step 6: Final answer
    x = 15,022.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.