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Finding the Fourth Proportional to 21,236.12, 31,854.06 and 7,385

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Solution

The fourth proportional to 21,236.12, 31,854.06 and 7,385 is: 11,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,236.12 : 31,854.06 = 7,385 : x
  2. Step 2: Convert to fraction form
    21,236.12/31,854.06 = 7,385/x
  3. Step 3: Cross multiply
    21,236.12x = 31,854.06 × 7,385
  4. Step 4: Simplify right side
    21,236.12x = 235,242,233.10
  5. Step 5: Solve for x
    x = 235,242,233.10/21,236.12
  6. Step 6: Final answer
    x = 11,077.46

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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.