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Finding the Fourth Proportional to 21,314.34, 31,969.08 and 5,730.75

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Solution

The fourth proportional to 21,314.34, 31,969.08 and 5,730.75 is: 8,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.34 : 31,969.08 = 5,730.75 : x
  2. Step 2: Convert to fraction form
    21,314.34/31,969.08 = 5,730.75/x
  3. Step 3: Cross multiply
    21,314.34x = 31,969.08 × 5,730.75
  4. Step 4: Simplify right side
    21,314.34x = 183,206,805.21
  5. Step 5: Solve for x
    x = 183,206,805.21/21,314.34
  6. Step 6: Final answer
    x = 8,595.47

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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.