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Finding the Fourth Proportional to 11,646.06, 17,447.22 and 9,036.24

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Solution

The fourth proportional to 11,646.06, 17,447.22 and 9,036.24 is: 13,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.06 : 17,447.22 = 9,036.24 : x
  2. Step 2: Convert to fraction form
    11,646.06/17,447.22 = 9,036.24/x
  3. Step 3: Cross multiply
    11,646.06x = 17,447.22 × 9,036.24
  4. Step 4: Simplify right side
    11,646.06x = 157,657,267.25
  5. Step 5: Solve for x
    x = 157,657,267.25/11,646.06
  6. Step 6: Final answer
    x = 13,537.39

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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.