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Finding the Fourth Proportional to 21,210.34, 31,813.08 and 5,629.18

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Solution

The fourth proportional to 21,210.34, 31,813.08 and 5,629.18 is: 8,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,210.34 : 31,813.08 = 5,629.18 : x
  2. Step 2: Convert to fraction form
    21,210.34/31,813.08 = 5,629.18/x
  3. Step 3: Cross multiply
    21,210.34x = 31,813.08 × 5,629.18
  4. Step 4: Simplify right side
    21,210.34x = 179,081,553.67
  5. Step 5: Solve for x
    x = 179,081,553.67/21,210.34
  6. Step 6: Final answer
    x = 8,443.13

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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.