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Finding the Fourth Proportional to 14,211.06, 21,311.97 and 6,713.46

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Solution

The fourth proportional to 14,211.06, 21,311.97 and 6,713.46 is: 10,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.06 : 21,311.97 = 6,713.46 : x
  2. Step 2: Convert to fraction form
    14,211.06/21,311.97 = 6,713.46/x
  3. Step 3: Cross multiply
    14,211.06x = 21,311.97 × 6,713.46
  4. Step 4: Simplify right side
    14,211.06x = 143,077,058.12
  5. Step 5: Solve for x
    x = 143,077,058.12/14,211.06
  6. Step 6: Final answer
    x = 10,068.01

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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.