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Finding the Fourth Proportional to 14,211.64, 21,312.06 and 6,808.24

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Solution

The fourth proportional to 14,211.64, 21,312.06 and 6,808.24 is: 10,209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.64 : 21,312.06 = 6,808.24 : x
  2. Step 2: Convert to fraction form
    14,211.64/21,312.06 = 6,808.24/x
  3. Step 3: Cross multiply
    14,211.64x = 21,312.06 × 6,808.24
  4. Step 4: Simplify right side
    14,211.64x = 145,097,619.37
  5. Step 5: Solve for x
    x = 145,097,619.37/14,211.64
  6. Step 6: Final answer
    x = 10,209.77

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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.