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Finding the Fourth Proportional to 21,312.90, 31,969.29 and 5,730.54

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Solution

The fourth proportional to 21,312.90, 31,969.29 and 5,730.54 is: 8,595.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.90 : 31,969.29 = 5,730.54 : x
  2. Step 2: Convert to fraction form
    21,312.90/31,969.29 = 5,730.54/x
  3. Step 3: Cross multiply
    21,312.90x = 31,969.29 × 5,730.54
  4. Step 4: Simplify right side
    21,312.90x = 183,201,295.12
  5. Step 5: Solve for x
    x = 183,201,295.12/21,312.90
  6. Step 6: Final answer
    x = 8,595.79

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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.