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Finding the Fourth Proportional to 14,536.29, 21,804.59 and 6,211.11

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Solution

The fourth proportional to 14,536.29, 21,804.59 and 6,211.11 is: 9,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,536.29 : 21,804.59 = 6,211.11 : x
  2. Step 2: Convert to fraction form
    14,536.29/21,804.59 = 6,211.11/x
  3. Step 3: Cross multiply
    14,536.29x = 21,804.59 × 6,211.11
  4. Step 4: Simplify right side
    14,536.29x = 135,430,804.29
  5. Step 5: Solve for x
    x = 135,430,804.29/14,536.29
  6. Step 6: Final answer
    x = 9,316.74

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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.