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Finding the Fourth Proportional to 21,311.36, 31,955.75 and 9,459.98

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Solution

The fourth proportional to 21,311.36, 31,955.75 and 9,459.98 is: 14,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.36 : 31,955.75 = 9,459.98 : x
  2. Step 2: Convert to fraction form
    21,311.36/31,955.75 = 9,459.98/x
  3. Step 3: Cross multiply
    21,311.36x = 31,955.75 × 9,459.98
  4. Step 4: Simplify right side
    21,311.36x = 302,300,704.12
  5. Step 5: Solve for x
    x = 302,300,704.12/21,311.36
  6. Step 6: Final answer
    x = 14,184.96

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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.