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Finding the Fourth Proportional to 14,543.64, 21,817.49 and 7,148.39

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Solution

The fourth proportional to 14,543.64, 21,817.49 and 7,148.39 is: 10,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.64 : 21,817.49 = 7,148.39 : x
  2. Step 2: Convert to fraction form
    14,543.64/21,817.49 = 7,148.39/x
  3. Step 3: Cross multiply
    14,543.64x = 21,817.49 × 7,148.39
  4. Step 4: Simplify right side
    14,543.64x = 155,959,782.51
  5. Step 5: Solve for x
    x = 155,959,782.51/14,543.64
  6. Step 6: Final answer
    x = 10,723.57

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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.