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Finding the Fourth Proportional to 21,005.33, 31,507.96 and 9,754.51

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Solution

The fourth proportional to 21,005.33, 31,507.96 and 9,754.51 is: 14,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.33 : 31,507.96 = 9,754.51 : x
  2. Step 2: Convert to fraction form
    21,005.33/31,507.96 = 9,754.51/x
  3. Step 3: Cross multiply
    21,005.33x = 31,507.96 × 9,754.51
  4. Step 4: Simplify right side
    21,005.33x = 307,344,710.90
  5. Step 5: Solve for x
    x = 307,344,710.90/21,005.33
  6. Step 6: Final answer
    x = 14,631.75

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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.