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Finding the Fourth Proportional to 11,653.66, 17,368.04 and 11,635.13

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Solution

The fourth proportional to 11,653.66, 17,368.04 and 11,635.13 is: 17,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.66 : 17,368.04 = 11,635.13 : x
  2. Step 2: Convert to fraction form
    11,653.66/17,368.04 = 11,635.13/x
  3. Step 3: Cross multiply
    11,653.66x = 17,368.04 × 11,635.13
  4. Step 4: Simplify right side
    11,653.66x = 202,079,403.25
  5. Step 5: Solve for x
    x = 202,079,403.25/11,653.66
  6. Step 6: Final answer
    x = 17,340.42

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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.