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Finding the Fourth Proportional to 14,549.82, 21,813.66 and 7,525.36

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Solution

The fourth proportional to 14,549.82, 21,813.66 and 7,525.36 is: 11,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.82 : 21,813.66 = 7,525.36 : x
  2. Step 2: Convert to fraction form
    14,549.82/21,813.66 = 7,525.36/x
  3. Step 3: Cross multiply
    14,549.82x = 21,813.66 × 7,525.36
  4. Step 4: Simplify right side
    14,549.82x = 164,155,570.15
  5. Step 5: Solve for x
    x = 164,155,570.15/14,549.82
  6. Step 6: Final answer
    x = 11,282.31

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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.