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Finding the Fourth Proportional to 14,609.30, 21,933.38 and 7,688.66

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Solution

The fourth proportional to 14,609.30, 21,933.38 and 7,688.66 is: 11,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.30 : 21,933.38 = 7,688.66 : x
  2. Step 2: Convert to fraction form
    14,609.30/21,933.38 = 7,688.66/x
  3. Step 3: Cross multiply
    14,609.30x = 21,933.38 × 7,688.66
  4. Step 4: Simplify right side
    14,609.30x = 168,638,211.03
  5. Step 5: Solve for x
    x = 168,638,211.03/14,609.30
  6. Step 6: Final answer
    x = 11,543.21

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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.