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Finding the Fourth Proportional to 21,530.36, 32,302.37 and 7,489.82

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Solution

The fourth proportional to 21,530.36, 32,302.37 and 7,489.82 is: 11,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.36 : 32,302.37 = 7,489.82 : x
  2. Step 2: Convert to fraction form
    21,530.36/32,302.37 = 7,489.82/x
  3. Step 3: Cross multiply
    21,530.36x = 32,302.37 × 7,489.82
  4. Step 4: Simplify right side
    21,530.36x = 241,939,036.35
  5. Step 5: Solve for x
    x = 241,939,036.35/21,530.36
  6. Step 6: Final answer
    x = 11,237.11

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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.