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Finding the Fourth Proportional to 21,165.18, 31,762.35 and 9,491.46

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Solution

The fourth proportional to 21,165.18, 31,762.35 and 9,491.46 is: 14,243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.18 : 31,762.35 = 9,491.46 : x
  2. Step 2: Convert to fraction form
    21,165.18/31,762.35 = 9,491.46/x
  3. Step 3: Cross multiply
    21,165.18x = 31,762.35 × 9,491.46
  4. Step 4: Simplify right side
    21,165.18x = 301,471,074.53
  5. Step 5: Solve for x
    x = 301,471,074.53/21,165.18
  6. Step 6: Final answer
    x = 14,243.73

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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.