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Finding the Fourth Proportional to 21,575.14, 32,362.78 and 7,535.06

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Solution

The fourth proportional to 21,575.14, 32,362.78 and 7,535.06 is: 11,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.14 : 32,362.78 = 7,535.06 : x
  2. Step 2: Convert to fraction form
    21,575.14/32,362.78 = 7,535.06/x
  3. Step 3: Cross multiply
    21,575.14x = 32,362.78 × 7,535.06
  4. Step 4: Simplify right side
    21,575.14x = 243,855,489.07
  5. Step 5: Solve for x
    x = 243,855,489.07/21,575.14
  6. Step 6: Final answer
    x = 11,302.61

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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.