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Finding the Fourth Proportional to 14,447.34, 21,542.40 and 14,419.80

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Solution

The fourth proportional to 14,447.34, 21,542.40 and 14,419.80 is: 21,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,447.34 : 21,542.40 = 14,419.80 : x
  2. Step 2: Convert to fraction form
    14,447.34/21,542.40 = 14,419.80/x
  3. Step 3: Cross multiply
    14,447.34x = 21,542.40 × 14,419.80
  4. Step 4: Simplify right side
    14,447.34x = 310,637,099.52
  5. Step 5: Solve for x
    x = 310,637,099.52/14,447.34
  6. Step 6: Final answer
    x = 21,501.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.