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Finding the Fourth Proportional to 21,535.41, 32,294.66 and 9,061.41

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Solution

The fourth proportional to 21,535.41, 32,294.66 and 9,061.41 is: 13,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,535.41 : 32,294.66 = 9,061.41 : x
  2. Step 2: Convert to fraction form
    21,535.41/32,294.66 = 9,061.41/x
  3. Step 3: Cross multiply
    21,535.41x = 32,294.66 × 9,061.41
  4. Step 4: Simplify right side
    21,535.41x = 292,635,109.76
  5. Step 5: Solve for x
    x = 292,635,109.76/21,535.41
  6. Step 6: Final answer
    x = 13,588.56

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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.