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Finding the Fourth Proportional to 13,189.84, 19,804.86 and 11,523.06

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Solution

The fourth proportional to 13,189.84, 19,804.86 and 11,523.06 is: 17,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.84 : 19,804.86 = 11,523.06 : x
  2. Step 2: Convert to fraction form
    13,189.84/19,804.86 = 11,523.06/x
  3. Step 3: Cross multiply
    13,189.84x = 19,804.86 × 11,523.06
  4. Step 4: Simplify right side
    13,189.84x = 228,212,590.07
  5. Step 5: Solve for x
    x = 228,212,590.07/13,189.84
  6. Step 6: Final answer
    x = 17,302.15

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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.