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Finding the Fourth Proportional to 14,496.93, 21,725.96 and 6,688.53

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Solution

The fourth proportional to 14,496.93, 21,725.96 and 6,688.53 is: 10,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.93 : 21,725.96 = 6,688.53 : x
  2. Step 2: Convert to fraction form
    14,496.93/21,725.96 = 6,688.53/x
  3. Step 3: Cross multiply
    14,496.93x = 21,725.96 × 6,688.53
  4. Step 4: Simplify right side
    14,496.93x = 145,314,701.80
  5. Step 5: Solve for x
    x = 145,314,701.80/14,496.93
  6. Step 6: Final answer
    x = 10,023.83

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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.