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Finding the Fourth Proportional to 21,312.99, 31,969.49 and 7,458.75

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Solution

The fourth proportional to 21,312.99, 31,969.49 and 7,458.75 is: 11,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.99 : 31,969.49 = 7,458.75 : x
  2. Step 2: Convert to fraction form
    21,312.99/31,969.49 = 7,458.75/x
  3. Step 3: Cross multiply
    21,312.99x = 31,969.49 × 7,458.75
  4. Step 4: Simplify right side
    21,312.99x = 238,452,396.24
  5. Step 5: Solve for x
    x = 238,452,396.24/21,312.99
  6. Step 6: Final answer
    x = 11,188.13

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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.