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Finding the Fourth Proportional to 14,452.16, 21,664.10 and 7,435.53

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Solution

The fourth proportional to 14,452.16, 21,664.10 and 7,435.53 is: 11,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.16 : 21,664.10 = 7,435.53 : x
  2. Step 2: Convert to fraction form
    14,452.16/21,664.10 = 7,435.53/x
  3. Step 3: Cross multiply
    14,452.16x = 21,664.10 × 7,435.53
  4. Step 4: Simplify right side
    14,452.16x = 161,084,084.06
  5. Step 5: Solve for x
    x = 161,084,084.06/14,452.16
  6. Step 6: Final answer
    x = 11,146.03

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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.