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Finding the Fourth Proportional to 21,008.05, 31,508.83 and 9,319.21

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Solution

The fourth proportional to 21,008.05, 31,508.83 and 9,319.21 is: 13,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008.05 : 31,508.83 = 9,319.21 : x
  2. Step 2: Convert to fraction form
    21,008.05/31,508.83 = 9,319.21/x
  3. Step 3: Cross multiply
    21,008.05x = 31,508.83 × 9,319.21
  4. Step 4: Simplify right side
    21,008.05x = 293,637,199.48
  5. Step 5: Solve for x
    x = 293,637,199.48/21,008.05
  6. Step 6: Final answer
    x = 13,977.37

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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.