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Finding the Fourth Proportional to 21,064.28, 31,602.28 and 9,215.94

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Solution

The fourth proportional to 21,064.28, 31,602.28 and 9,215.94 is: 13,826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.28 : 31,602.28 = 9,215.94 : x
  2. Step 2: Convert to fraction form
    21,064.28/31,602.28 = 9,215.94/x
  3. Step 3: Cross multiply
    21,064.28x = 31,602.28 × 9,215.94
  4. Step 4: Simplify right side
    21,064.28x = 291,244,716.34
  5. Step 5: Solve for x
    x = 291,244,716.34/21,064.28
  6. Step 6: Final answer
    x = 13,826.47

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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.