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Finding the Fourth Proportional to 14,462.01, 21,633.62 and 11,546.01

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Solution

The fourth proportional to 14,462.01, 21,633.62 and 11,546.01 is: 17,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.01 : 21,633.62 = 11,546.01 : x
  2. Step 2: Convert to fraction form
    14,462.01/21,633.62 = 11,546.01/x
  3. Step 3: Cross multiply
    14,462.01x = 21,633.62 × 11,546.01
  4. Step 4: Simplify right side
    14,462.01x = 249,781,935.13
  5. Step 5: Solve for x
    x = 249,781,935.13/14,462.01
  6. Step 6: Final answer
    x = 17,271.59

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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.