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Finding the Fourth Proportional to 21,216.31, 31,776.02 and 10,130.81

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Solution

The fourth proportional to 21,216.31, 31,776.02 and 10,130.81 is: 15,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216.31 : 31,776.02 = 10,130.81 : x
  2. Step 2: Convert to fraction form
    21,216.31/31,776.02 = 10,130.81/x
  3. Step 3: Cross multiply
    21,216.31x = 31,776.02 × 10,130.81
  4. Step 4: Simplify right side
    21,216.31x = 321,916,649.63
  5. Step 5: Solve for x
    x = 321,916,649.63/21,216.31
  6. Step 6: Final answer
    x = 15,173.07

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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.