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Finding the Fourth Proportional to 21,312.72, 31,969.14 and 7,458.48

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Solution

The fourth proportional to 21,312.72, 31,969.14 and 7,458.48 is: 11,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.72 : 31,969.14 = 7,458.48 : x
  2. Step 2: Convert to fraction form
    21,312.72/31,969.14 = 7,458.48/x
  3. Step 3: Cross multiply
    21,312.72x = 31,969.14 × 7,458.48
  4. Step 4: Simplify right side
    21,312.72x = 238,441,191.31
  5. Step 5: Solve for x
    x = 238,441,191.31/21,312.72
  6. Step 6: Final answer
    x = 11,187.74

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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.