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Finding the Fourth Proportional to 21,012.51, 31,510.11 and 9,317.53

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Solution

The fourth proportional to 21,012.51, 31,510.11 and 9,317.53 is: 13,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.51 : 31,510.11 = 9,317.53 : x
  2. Step 2: Convert to fraction form
    21,012.51/31,510.11 = 9,317.53/x
  3. Step 3: Cross multiply
    21,012.51x = 31,510.11 × 9,317.53
  4. Step 4: Simplify right side
    21,012.51x = 293,596,469.56
  5. Step 5: Solve for x
    x = 293,596,469.56/21,012.51
  6. Step 6: Final answer
    x = 13,972.46

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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.