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Finding the Fourth Proportional to 14,200.36, 21,256.74 and 9,259.36

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Solution

The fourth proportional to 14,200.36, 21,256.74 and 9,259.36 is: 13,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.36 : 21,256.74 = 9,259.36 : x
  2. Step 2: Convert to fraction form
    14,200.36/21,256.74 = 9,259.36/x
  3. Step 3: Cross multiply
    14,200.36x = 21,256.74 × 9,259.36
  4. Step 4: Simplify right side
    14,200.36x = 196,823,808.09
  5. Step 5: Solve for x
    x = 196,823,808.09/14,200.36
  6. Step 6: Final answer
    x = 13,860.48

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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.